EMRAH KILIÇ

Professor

TOBB University of Economics and Technology Department of
Mathematics

Office Number: 221

Sogutozu Avenue

Postal Code 06560

Ankara Turkey

Office Phone Number: +90 312 292 43 30

Email Address: ekilic@etu.edu.tr

Web Address: http://ekilic.etu.edu.tr/

Ph.D. Department of Mathematic, Gazi University,
2003-2006

M.A. Department of Mathematics, Gazi University,
2001-2003

B.Sc. Department of Mathematics, Ankara
University, 1995-1999

Discrete Mathematics, Matrix Theory, Combinatorics, *q*-Calculus

**Academic
Titles**

June 2014 – Present, Professor, TOBB University of Economics
and Technology, Ankara Turkey

January 2009 – June 2014, Associate Professor, TOBB
University of Economics and Technology, Ankara Turkey

January 2008 – May 2008, Visiting Scholar (My host was Prof.
Gilbert Strang), Massachusetts Institute of Technology, Cambridge, US

July 2007 – January 2009, Assistant Professor, TOBB
University of Economics and Technology, Ankara Turkey

Agust 2006 – July 2007, Researcher and lecturer, TOBB
University of Economics and Technology, Ankara Turkey

February 2002 – August 2006, Research assistant, Gazi
University, Ankara Turkey

The Journals indexed by SCI and Web of Science

Turkish Journal of Mathematics, Area
Editor, 2015 – Present

Bulletin of the Malaysian Mathematical
Sciences Society (BMMS), Area Editor, 2015 – Present

B) The other Journals

International Journal of Physics and
Mathematical Sciences, Area Editor, 2011 – Present

Turkish Journal of Mathematics and
Computer Science, Area Editor, 2017 – Present

Ankara Mathematics Days 2019, Scientific
Committee Membership, GaziUniv. Ankara
2019

DIMACOS– 2019, Scientific Committee
Membership, Tunisia, Hammamet, 2019

Science Heroes Association, Selection
committee membership for the award "Scientist of the Year", 2018

Turkish Academy of Sciences (TÜBA),
TESEP
Jury Membership, 2018

Ankara Mathematics Days – 2018,
Scientific Committee Membership, TOBB ETU, Ankara 2018

Ankara Mathematics Days – 2017,
Scientific Committee Membership, Hacettepe University, Ankara 2017

Lebanese International Conference on
Mathematics and Applications (LICMA’17), Scientific Committee Membership,
Beirut, 2017

Turkish Academy of Sciences (TÜBA)-GEBİP Scientific Committee Membership, 2016

Lebanese International Conference on
Mathematics and Applications (LICMA’15), Scientific Committee Membership,
Beirut, 2015

XII. Mathematics Symposium, Scientific and
Program Committee Memberships, Hacettepe University, Ankara, 2013

XI. Mathematics Symposium, Scientific
Committee Membership, Ondokuz Mayıs University, Samsun, 2012

X. Mathematics Symposium, Scientific
Committee Membership, Işık
University, İstanbul, 2011

Ankara Mathematic Days – 2010,
Scientific Committee Membership, TOBB ETU, Ankara, 2010

American Mathematical Society

Senate Membership for two periods,
2015-Present

Science and Letter Faculty, Faculty
board membership, 2012-Present

Law Faculty,
Faculty administrative board membership, 2012-2018

Science and Letter Faculty, Faculty
administrative board membership, 2012-2018

Papers

1) D. Taşcı and E. Kılıç,
On the order-*k* generalized Lucas
numbers, Applied Mathematics Computation 155(3) (2004), 637–641.

2) E. Kılıç and D. Taşcı,
The linear algebra of the Pell matrix, Bulletin of the Mexican Mathematical
Society 2(11) (2005), 163–174.

3) E. Kılıç and D. Taşcı,
On the generalized order-*k* Fibonacci
and Lucas numbers, Rocky Mountain J. Math. 36(6) (2006), 1915–1926.

4) E. Kılıç, B. Altunkaynak and D. Taşcı,
On the computing of the generalized order-*k*
Pell numbers in log time, Applied Mathematics Computation 181(1) (2006),
511–515.

5) E. Kılıç and D. Taşcı,
The generalized Binet formula, representation and sums of the generalized
order-*k* Pell numbers, Taiwanese J.
Math. 10(6) (2006), 1661–1670.

6) E. Kılıç and D. Taşcı,
Factorizations and representations of the backward second order linear
recurrences, Journal of Computational and Applied Mathematics 201(1) (2007),
182–197.

7) E. Kılıç, The generalized order-*k* Fibonacci-Pell sequence by matrix
methods, Journal of Computational and Applied Mathematics 209(2) (2007),
133–145.

8) E. Kılıç, Sums of generalized
Fibonacci numbers by matrix methods, Ars Combinatoria 84 (2007), 23–31.

9)
E. Kılıç and D. Taşcı, On the permanents of some tridiagonal
matrices with applications to the Fibonacci and Lucas numbers, Rocky Mountain
J. Math. 37(6) (2007), 203–219.

10) E. Kılıç and D. Taşcı,
On sums of second order linear recurrences by Hessenberg matrices, Rocky
Mountain J. Math. 38(2) (2008), 531–544.

11) E. Kılıç, Sums of the squares of
terms of sequence {*U _{n}*},
Proc. Indian Acad. Sci. 118(1) (2008), 27–41.

12) E. Kılıç, The Binet formula, sum
and representations of generalized Fibonacci *p*-numbers, European Journal of Combinatorics 29(3) (2008), 701–711.

13) E. Kılıç, Explicit formula for the
inverse of a tridiagonal matrix by backward continued fractions, Applied
Mathematics Computation 197(1) (2008), 345–357.

14) E. Kılıç, Formulas for sums of generalized
order-*k* Fibonacci type sequences by
matrix methods, Ars Combinatoria 86 (2008), 395–402.

15) E. Kılıç, Tribonacci sequences with
certain indices and their sums, Ars Combinatoria 86 (2008), 13–22.

16) E. Kılıç and M. El-Mikkawy, A
computational algorithm for special *n*th
order pentadiagonal Toeplitz determinants, Applied Mathematics Computation
199(2) (2008), 820–822.

17) E. Kılıç, On a constant-diagonals
matrix, Applied Mathematics Computation 204(1) (2008), 184–190.

18) E. Kılıç and D. Tasci, Generalized
order-*k* Fibonacci and Lucas
functions, Rocky Mountain J. Math. 38(6) (2008), 1991–2007.

19) E. Kılıç and N. Irmak, Reciprocal
sums of *l*-th power of generalized
binary sequences with indices, Ars Combintoria 88(2008), 407–413.

20) E. Kılıç, On the usual Fibonacci
and generalized order-*k* Pell numbers,
Ars Combinatoria 88 (2008), 33–45.

21) E. Kılıç and D. Tasci, On families
of bipartite graphs associated with sums of Fibonacci and Lucas numbers, Ars
Combinatoria 89(2008), 31–40.

22) E. Kılıç and P. Stanica, Generating
matrices for weighted sums of a second order linear recurrence, Journal of
Integer Sequences 12 (2009) Article 09.2.7.

23) E. Kılıç, On the second order
linear recurrences by tridiagonal matrices, Ars Combinatoria 91 (2009), 11–18.

24) E. Kılıç, The generalized Pell (*p,i*)-numbers and their Binet formulas,
combinatorial representations, sums, Chaos, Solitons and Fractals 40 (2009),
2047–2063.

25) E. Kılıç and A.P. Stakhov, On the
Fibonacci and Lucas *p*-numbers, their
sums, families of bipartite graphs and permanents of certain matrices, Chaos,
Solitons and Fractals 40 (2009), 2210–2221.

26) E. Kılıç, N. Ömür, G. Tatar and Y.
Ulutaş,
Factorizations of the Pascal matrix via generalized second
order recurrent matrix, Hacettepe J. Mathematics and Statistics 38(3) (2009),
305–316.

27) E. Kılıç and D. Taşcı,
On the second order linear recurrence satisfied by the permanent of generalized
doubly stochastic matrices, Ars Combinatoria 93 (2009), 1–14.

28) E. Kılıç, N. Ömür and Y. Ulutaş,
Matrix representations for the second order recurrence {*U _{kn}*}, Ars Combinotaria 93 (2009), 181–190.

29) E. Kılıç, More general identities
involving the terms of {*W _{n}*(

30) E. Kılıç and P. Stanica,
Factorizations and representations of second order linear recurrences with
indices in arithmetic progressions, Bulletin of the Mexican Mathematical
Society 15(1) (2009), 23–36.

31) E. Kılıç, G. N. Stanica and P.
Stanica, Spectral properties of some combinatorial matrices, Congressus
Numerantium Vol. 201, Proc. Inter. Conf. Fibonacci Numbers & Appl. (2010),
223–236.

32) E. Kılıç, The generalized
Fibonomial matrix, European Journal of Combinatorics 31 (2010), 193–209.

33) E. Kılıç and D. Taşcı,
On the generalized Fibonacci and Pell sequences by Hessenberg matrices, Ars
Combinatoria 94 (2010), 161–174.

34) E. Kılıç and D. Taşcı,
On families of bipartite graphs associated with sums of generalized order-*k* Fibonacci and Lucas numbers, Ars
Combinatoria 94(2010), 13–23.

35) E. Kılıç and N. Ömür, Conics
characterizing the generalized Fibonacci and Lucas sequences with indices in
arithmetic progressions, Ars Combinatoria 94(2010), 459–464.

36) E. Kılıç and H. Prodinger, A
generalized Filbert matrix, The Fibonacci Quarterly 48(1) (2010), 29–33.

37) E. Kılıç, D. Taşcı
and P. Haukkanen, On the generalized Lucas sequences by Hessenberg matrices,
Ars Combinatoria 95 (2010), 383–395.

38) E. Kılıç and D. Taşcı,
Negatively subscripted Fibonacci and Lucas numbers and their complex
factorizations, Ars Combinatoria 96(2010), 275–288.

39) E. Kılıç and E. J. Ionascu, Certain
binomial sums with recursive coefficients, The Fibonacci Quarterly 48(2)
(2010), 161–167.

40) E. Kılıç and H. Prodinger, A proof
of a conjecture of Melham, The Fibonacci Quarterly 48(2010), 241–248.

41) E. Kılıç, Second order linear
recursions whose subscripts are a power, Miskolc Mathematical Notes 11(2)
(2010), 151–162.

42) E. Kılıç and P. Stanica, The Lehmer
matrix and its recursive analogue, Journal of Combinatorial Mathematics and
Combinatorial Computing 74 (2010), 193–207.

43) E. Kılıç, On binomial sums for the
general second order linear recurrence, Integers: The Electronic Journal of Combinatorial
Number Theory #A57, 10(2010), 801–806.

44) E. Kılıç and P. Stanica, Generating
matrices of *C*-nomial coefficients and
their spectra, Proc. International Conf. Fibonacci Numbers & Applic. 2010.

45) E. Kılıç and P. Stanica, A matrix
approach for general higher order linear recurrence, Bulletin of the Malaysian
Mathematical Sciences Society (2)34 (2011), 51–67.

46) E. Kılıç and N. Irmak, Binomial
identities involving the generalized Fibonacci type polynomials, Ars
Combinatoria 98(2011), 129–134.

47) E. Kılıç, N. Ömür and Y. Ulutaş,
Binomial sums whose coefficients are products of terms of binary sequences,
Utilitas Mathematica 84(2011), 45–52.

48) E. Kılıç, Y. Ulutaş
and N. Ömür, Sums of products of the terms of generalized Lucas sequence {*V _{kn}*}, Hacettepe J.
Mathematics and Statistics 40(2) (2011), 147–161.

49) E. Kılıç and P. Stanica,
Factorizations and representations of binary polynomial recurrences by matrix
methods, Rocky Mountain J. Mathematics 41(4) (2011), 1247–1264.

50) E. Kılıç, Y. Ulutaş
and N. Ömür,
A formula for the generating functions of powers of Horadam's sequence with
additional 2 parameters, Journal of Integer Sequences 14(2011) Article 11.5.6.

51) E. Kılıç, N. Ömür and Y. Ulutaş,
Alternating sums of the powers of Fibonacci and Lucas numbers, Miskolc
Mathematical Notes 12(1) (2011), 87–103.

52) E. Kılıç, N. Ömür and Y. Ulutaş,
Some finite sums involving generalized Fibonacci and Lucas numbers, Discrete
Dynamics in Nature and Society (2011), Article ID 284261.

53) E. Kılıç, H. Prodinger and H.
Ohtsuka, Formulas for Fibonomial sums with generalized
Fibonacci and Lucas coefficients, The Fibonacci Quarterly 49(4) (2011),
320–329.

54) E. Kılıç and H. Ohtsuka, Some
generalized Fibonomial sums related with the Gaussian *q*-binomial sums, Bulletin Mathématique de la Société des Sciences
Mathématiques de Roumanie 55(103) (2012), 51–61.

55) E. Kılıç, Y. Ulutaş
and N. Ömür,
Formulas for weighted binomial sums with the powers of terms of binary
recurrences, Miskolc Mathematical Notes 13 (2012), 53–65.

56) E. Kılıç, A matrix approach for
generalizing two curious divisibility properties, Miskolc Mathematical Notes
13(2) (2012), 389–396.

57) E. Kılıç, N. Ömür and G. Tatar,
Riordan group approaches in matrix factorizations, Bulletin of the Iranian
Mathematical Society 38(2) (2012), 491– 506.

58) E. Kılıç and H. Prodinger, The *q*-Pilbert matrix, International Journal
Computers Mathematics 89 (2012), 1370–1377.

59) E. Kılıç and P. Stanica, General
approach in computing sums of products of binary sequences, Hacettepe Journal
of Mathematics and Statistics 42(2013), 1–7.

60) E. Kılıç and P. Stanica, The
inverse of banded matrices, Journal of Computational and Applied Mathematics
237(1) (2013), 126–135.

61) E. Kılıç and T. Arıkan, More on the
infinite sum of reciprocal usual Fibonacci, Pell and higher order recurrences,
Applied Mathematics Computation 219(2013), 7783–7788.

62) E. Kılıç and N. Ömür, Some weighted
sums of products of Lucas sequences, Integers: The Electronic J. Combinatorial
Number Theory 13(2013), #A27, 1–9.

63) E. Kılıç and H. Prodinger, Variants
of the Filbert matrix, The Fibonacci Quarterly 51(2) (2013), 153–162.

64) E. Kılıç and H. Prodinger, Some
double binomial sums related to Fibonacci, Pell and generalized order-*k* Fibonacci numbers, Rocky Mountain J.
Mathematics 43(3) (2013), 975–987.

65) E. Kılıç, Sylvester-tridiagonal
matrix with alternating main diagonal entries and its spectra, International
Journal Nonlinear Sciences and Numerical Simulation 14(5) (2013), 261–266.

66) E. Kılıç and H. Prodinger,
Asymmetric generalizations of the Filbert matrix and variants, Publications
de'l Institut Mathematique 95(109) (2014), 267–280.

67) E. Kılıç and H. Prodinger, A note
on the conjecture of Ramirez and Sirvent, Journal of Integer Sequences 2014,
Article 14.5.8.

68) E. Kılıç and Aynur Yalçıner, New
sums identities in weighted Catalan triangle with the powers of generalized
Fibonacci and Lucas numbers, Ars Combinatoria 115(2014), 391–400.

69) E. Kılıç and H. Prodinger, A
generalization of a conjecture of Melham, Utilitas Mathematica 93 (2014), 225–232.

70) E. Kılıç and H. Prodinger, The
generalized *q*-Pilbert matrix,
Mathematica Slovaca 64(5) (2014), 1–10.

71) E. Kılıç, A proof of a conjecture
of Marques and Trojovsky, Miskolc Mathematical Notes 2(2) (2014), 545–557.

72) E. Kılıç, Y. Ulutaş
and N. Ömür, Generalized binary recurrent quasi-cyclic matrices, Annales
Mathematicae et Informaticae 43(2014), 103–112.

73) E. Kılıç and H. Prodinger, Formulae
related to the *q*-Dixon formula with
applications to Fibonomial sums, Periodica Mathematica Hungarica 70(2015),
216–226.

74) E. Kılıç, Some subsequences of the
generalized Fibonacci and Lucas numbers, Utilitas Mathematica 97(2015),
233–239.

75) E. Kılıç, N. Ömür
and Y. Ulutaş, Various sums including the generalized Fibonacci and Lucas
numbers, Palestine J. Mathematics 4(2) (2015) , 319–326.

76) E. Kılıç and H. Prodinger, Sums of
products of generalized Fibonacci and Lucas numbers, Acta Mathematica Hungarica
145(1) (2015), 17–25.

77) E. Kılıç, N. Ömür
and Y. Ulutaş, Formulas for binomial sums including powers of Fibonacci
and Lucas numbers, U.P.B. Sci. Bull. Series A 77(4) (2015), 69–78.

78) E. Kılıç and Hacene Belbachir,
Generalized double binomial sums families by generating functions, Utilitas
Mathematica 104 (2017), 161–174.

79) E. Kılıç, N. Ömür,
Y. Ulutaş,
A curious matrix-sum identity and certain finite sums identities,
Asian-European J. Math. 8(3) (2015), #1550047.

80) E. Kılıç and G. Kızılaslan,
A variant of the reciprocal super Catalan matrix with two additional
parameters, Special Matrices 3(2015), 163–168.

81) E. Kılıç and H. Prodinger,
Evaluation of sums involving Gaussian *q*-binomial
coefficients with rational weight functions, International J. Number Theory
12(2) (2016), 495–504.

82) E. Kılıç and H. Prodinger, Closed
form evaluation of sums containing squares of Fibonomial coefficients,
Mathematica Slovaca 66(3) (2016), 757–765.

83) E. Kılıç, N. Ömür, Y. Ulutaş,
Generalized binomial convolution of the mth powers of the consecutive integers
with the general Fibonacci sequence, Demonstratio
Mathematica 49(4) (2016), 379–385.

84) E. Kılıç and T. Arıkan, Evaluation
of spectrum of 2-periodic tridiagonal-Sylvester matrix, Turkish J. Mathematics
40(2016), 80–89.

85) E. Kılıç and H. Prodinger, The
generalized Lilbert matrix, Periodica Mathematica Hungarica 73(1) (2016),
62–72.

86) E. Kılıç and T. Arıkan, The
generalized reciprocal super Catalan matrix, Turkish J. Mathematics 40(2016),
960–972.

87) E. Kılıç, Some new classes of
alternating weighted binomial sums, Annals of the Alexandru Ioan Cuza
University–Mathematics 3(2) (2016), 835–843.

88) E. Kılıç and T. Arıkan, Ruehr's
identities with two additional parameters, Integers, 16(2016), #A30.

89) E. Kılıç and H. Prodinger, Some
Gaussian binomial sum formulæ with applications, Indian J. Pure Appl. Math.
47(3) (2016), 399–407.

90) E. Kılıç, N. Ömür, S. Koparal, Y.
Ulutaş,
Two variants of the reciprocal super Catalan matrix, Kyungpook Mathematical
Journal 56(2) (2016), 409–418.

91) E. Kılıç and H. Prodinger,
Identities with squares of binomial coefficients: An elementary and explicit
approach, Publications de l'Institut Mathematique 99(113) (2016), 243–248.

92) E. Kılıç and H. Prodinger, Closed
form evaluation of restricted sums containing squares of Fibonomial
coefficients, U.P.B. Sci. Bull. Series A 78(4) (2016), 57–66.

93) E. Kılıç and A. Yalçıner, On sums
of squares of Fibonomial coefficients by *q*-calculus,
Asian-European J. Math. 9(3) (2016), [14 pp].

94) N. Irmak and E. Kılıç,
Decompositions of the Cauchy and Ferrers-Jackson polynomials, Mathematical
Communications, 21(2016), 163–170.

95) E. Kılıç, Evaluation of sums
containing triple aerated generalized Fibonomial coefficients, Mathematica
Slovaca 67(2) (2017), 355–370.

96) E. Kılıç and H. Prodinger, The
matrix of super Patalan numbers and its factorizations, Filomat 31(8) (2017),
2337–2344.

97) E. Kılıç and H. Prodinger, Closed
form evaluation of Melham's reciprocal sums, Miskolc Mathematical Notes 18(1)
(2017), 251–264.

98) E. Kılıç and T. Arıkan, A class of
non-symmetric band determinants with the Gaussian *q*-binomial coefficients, Quaestiones Mathematicae 40(5) (2017),
645–660.

99) E. Kılıç and H. Prodinger,
Evaluation of sums involving products of Gaussian *q*-binomial coefficients with applications to Fibonomial sums,
Turkish J. Mathematics 41(2017), 707–716.

100) E. Kılıç and T. Arıkan, Evaluation
of Hessenberg determinants via generating function approach, Filomat 31(15) (2017), 4945–4962.

101) E. Kılıç, N. Ömür and S. Koparal,
On alternating weighted binomial sums with falling factorials, Bulletin of
Mathematical Analysis and Applications 9(1) (2017), 58–64.

102) E. Kılıç, T. Mansour and T.
Arıkan, A wilf class composed of 19 symmetry classes of quadruples of 4-letter
patterns, Notes on Number Theory and Discrete Mathematics 23(3) (2017), 79–99.

103) E. Kılıç, On Fibonomial sums
identities with special sign functions: analytically q-calculus approach,
Mathematica Slovaca 68(3) (2018), 501–512.

104) E. Kılıç and T. Arıkan, Double
binomial sums and double sums related with certain linear recurrences of
various order, Chiang Mai J. Science 45(3) (2018), 1569–1577.

105) E. Kılıç, N. Omur and S. Koparal,
Formulae for two weighted binomial identites with the falling factorials, Ars
Combinatoria 138 (2018), 223–231.

106) E. Kılıç, Evaluation of various
partial sums of Gaussian q-binomial sums, Arabian Journal of Mathematics 7(2)
(2018), 101–112.

107) E. Kılıç, Three binomial sums
weighted by falling and rising factorials, Turkish J. Mathematics 42 (2018),
876–880.

108) T. Hopkins, E. Kılıç, An
analytical approach: Explicit inverses of periodic tridiagonal matrices,
Journal of Computational and Applied Mathematics 335 (2018), 207–226.

109) E. Kılıç and T. Arıkan, A
nonlinear generalization of the Filbert matrix and its Lucas analogue, Linear
and Multilinear Algebra 67(1) (2019), 141–157.

110) E. Kılıç and F. Taşdemir,
On binomial double sums with Fibonacci and Lucas numbers-I, Ars Combinatoria
144 (2019), 173–185.

111) E. Kılıç and H. Prodinger,
Evaluation of sums involving products of Gaussian q-binomial coefficients with applications,
Mathematica Slovaca 69(2) (2019), 327–338.

112) E. Kılıç, Sibel Koparal and Neşe
Ömür,
New asymmetric generalizations of the Filbert and Lilbert matrices, Periodica
Mathematica Hungarica 78 (2019), 231–241.

113) E. Kılıç, Partial sums of the
Gaussian q-binomial coefficients, their reciprocals, square and squared
reciprocals with applications, Miskolc Mathematical Notes 20(1) (2019), 299–310.

114) T. Arıkan, E. Kılıç and H.
Prodinger, A nonsymmetrical matrix and its factorizations, Mathematica Slovaca 69(4) (2019), 753–762.

115) E. Kılıç and T. Arıkan, A Proof of
Clarke's Conjecture, The Mathematical Gazette 103(26) (2019), 346–352.

116) E. Kılıç and T. Arıkan, Studying
new generalizations of Max-Min matrices with a novel approach, Turkish J.
Mathematics 43 (2019), 2010–2024.

117) E. Kılıç and Aynur Yalçıner,
Explicit spectrum of a circulant-tridiagonal matrix with applications, AIP
Conference Proceedings 2116, 450081 (2019).

118) E. Kılıç and F. Taşdemir,
On binomial double sums with Fibonacci and Lucas numbers-II, Ars Combinatoria
144 (2019), 345–354.

119) E. Kılıç and Didem Ersanlı, New
reciprocal sums involving finite products of second order recursions, Miskolc
Math. Notes 20(2) (2019), 1039–1050.

120) E. Kılıç and H. Prodinger, A wide
class of Combinatorial matrices related with reciprocal Pascal and super
Catalan matrices, Contributions to Discrete Mathematics 14 (1) (2019), 80–104.

121) Wenchang Chu and E. Kılıç, Cubic
sums of *q*-binomial coefficients and
the Fibonomial Coefficients, Rocky Mountain J. Math. 49(8) (2019), 2557–2569.

122) Wenchang Chu and E. Kılıç,
Quadratic sums of Gaussian q-binomial coefficients and Fibonomial coefficients,
The Ramanujan Journal 51(2) (2020), 229-243.

123)
C. M. da Fonseca and E. Kılıç, An observation on the determinant of a
Sylvester-Kac type matrix, An. Şt. Univ. Ovidius Constanta 28(1)
(2020), 111–115.

124) Hacer Bozdag, E. Kılıç, New
Filbert and Lilbert matrices with asymmetric entries, Mathematica Slovaca 70(2)
(2020), 289–296.

125) E. Kılıç and H. Prodinger, Formulæ
for multi-parameter Gaussian *q*-binomial
sums with applications, accepted in Indian J. Pure Appl. Math.

126) E. Kılıç, Sibel Koparal and Neşe
Ömür,
New analogues of the Filbert and Lilbert matrices via products of two *k*-tuples asymmetric entries, accepted in
Hacettepe Journal of Mathematics and Statistics.

127) E. Kılıç and Funda Taşdemir,
New binomial double sums with products of Fibonacci and Lucas numbers, accepted
in Utilitas Mathematica.

128) C.M. da Fonseca, E. Kılıç, A new
type of Sylvester-Kac matrix and its spectrum, Linear Multilinear Algebra,
accepted for publication.

129) E. Kılıç and N. Omur, Diophantine
equations related with linear binary recurrences, accepted in Iranian Journal
of Mathematical Sciences and Informatics.

130) E. Kılıç, S. Koparal, N. Omur,
Powers sums of the first and second kinds of Chebyshev polynomials, accepted in
Iranian Journal of Science and Technology, Transactions A: Science.

131) Milica Anđelić,
Zhibin Du, Carlos M. da Fonseca and E. Kılıç, A matrix approach to some second-order
difference equations with sign-alternating coefficients, accepted in Journal of
Difference Equations and Applications.

132) E. Kılıç, S. Koparal, N. Omur,
Nonlinear variants of the generalized Filbert and Lilbert matrices, accepted in
Turkish J. Mathematics

133) Wenchang Chu and E. Kılıç, *q*-binomial formulae of Dixon's type and
the Fibonomial sums, accepted in Applicable Analysis and Discrete Mathematics

Most downloaded papers from SCI indexed journals based on
Science Direct

Emrah Kılıç, The Binet formula, sums
and representations of generalized Fibonacci *p*-numbers, European Journal of Combinatorics, 29(3) (2008) 701–711.

Emrah Kılıç, The generalized Fibonomial
matrix, European Journal of Combinatorics, 31(2010) 193–209.

E. Kılıç and P. Stanica, The inverse of
banded matrices, Journal of Computational and Applied Mathematics, 237(1) (
2013), 126–135.

A new generalization of the Sylevester
matrix and its explicit spectrum, Kuwait Univ.
November 2019 (*Invited speaker*)

Evaluation of various partial sums of
Gaussian *q*-binomial sums, BMS 2018,
Sarajevo, July 2018, Bosna Herzigova.

Evaluation of sums involving Gaussian *q*-binomial coefficients with rational
weight functions, Lebanese Inter. Conf. Math. Appl.,
LICMA 15, May 2015, Lebanese Univ. (*Invited
speaker*)

Analysis methods for number theory
problems, MATDER, 14. Mathematics Symposium, Niğde University, May 2015 (*Invited speaker*)

Generalized binomial coefficients and
their various sums by *q*-calculus,
Hacettepe University, Ankara, June 2013.

Higher order linear recurrences by
matrix methods, Bilkent University, Ankara, May 2013.

An another symmetric Fibonacci
matrix-II (with G. Özdemir), RAMA8, Algeria, 2012.

A symmetric Fibonacci matrix-I (with L.
Çetinkaya), RAMA8, Algeria, 2012.

Some new kinds of generalized
Fibonomial sums, RAMA8, Algeria, 2012. (*Invited speaker*)

Generalizing two curious divisibility
properties, 15th Inter. Conference on Fibonacci Numbers and Their Appl.
Eger-Hungary, 2012.

Some further results on the sums of
reciprocals of terms of a order-*k*
recurring sequence, (with T. Arıkan) 15th Inter. Conference on Fibonacci
Numbers and Their Appl. Eger-Hungary, 2012.

Some Gaussian *q*-binomial sums and its applications, ICAAA2011, İstanbul
2011.

Spectrum of a tridiagonal matrix and
factorization of a period second order linear recurrence system, DIMACOS11, Morocco
2011.

Generalized binary recurrent
quasi-cyclic matrices, (with Y. T. Ulutaş) DIMACOS 11, Morocco 2011.

Finite sums involving generalized
Fibonacci and Lucas numbers, (with N. Ömür) DIMACOS 11, Morocco 2011.

Generating matrices of *C*-nomial coefficients and their spectra,
(with P. Stanica) 14th Inter. Conf. on Fibonacci
Numbers and Their Appl, Mexico, 2010.

On sums of the product of terms of the
generalized Lucas sequences, Ankara Mathematic Days, Ankara 2010.

Fibonacci numbers and generating matrices,
TOBB ETU, 2009.

Banded matrices and their inverses,
Ankara University, 2009.

Explicit formula for the inverse of a
tridigonal matrix by backward continued fraction, TASSA, Harvard University
2008.

Spectral properties of some
combinatorial matrices, (with P. Stanica and G. Stanica), 13. Inter. Conf. on Fibonacci Numbers and Their Appl, Mexico, 2010.

Antalya Cebir Günleri, Antalya 2005.

Pell matrices and matrix representation
of Pell numbers, XVII. National Mathematics Symposium, Bolu 2004.

On the order-*k* generalized Lucas numbers, Antalya Algebra Days, Antalya 2003.