ZGEMİŞ

 

EMRAH KILIǠ (Prof. Dr.)

 

TOBB Ekonomi ve Teknoloji niversitesi

Matematik Blm Ofis No: 221

Sğtz Caddesi No: 43

06560 Ankara Trkiye

 

Ofis Telefon No: +90 312 292 43 30

Email Adresi: ekilic@etu.edu.tr

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

 

Eğitim Bilgileri

 

Doktora: Gazi niv. Matematik Bl. 2003-2006

 

Yksek Lisans: Gazi niv. Matematik Bl. 2001-2003

 

Lisans: Ankara niv. Matematik Bl. 1995-1999

 

alışma Konuları

 

Ayrık matematik, Matris teori, Kombinatorik, q-kalkls

 

 

Akademik nvanlar

 

Haziran 2014 - Halen, Profesr, TOBB ET

 

Ocak 2009 - Haziran 2014, Doent Doktor, TOBB ET

 

Ocak 2008 - Mayıs 2008, Ziyareti Bilimadamı, Massachusetts Institute of Technology, Cambridge, Amerika

 

Temmuz 2007 - Ocak 2009, Yardımcı Doent Doktor, TOBB ET

 

Ağustos 2006 - Temmuz 2007, ğretim Grevlisi, TOBB ET

 

Şubat 2002 - Ağustos 2006, Araştırma Grevlisi, Gazi niversitesi, Ankara Trkiye


Uluslararası Bilimsel Dergi Editrlkleri

 

A) SCI İndeksli Web of Scienceda taranan dergilerde bulunan Editrlkler

 

Turkish Journal of Mathematics, Editor, 2015 Halen

 

Bulletin of the Malaysian Mathematical Sciences Society (BMMS), Editor, 2015 - Halen

 

B) Alan İndeksli dergilerde bulunan Editrlkler

 

Inter. J. Physics and Math. Sciences, Editor, 2011 - Halen

 

European J. Pure and Appl. Math. Editor, 2009 Halen

 

Bilimsel yelikler ve Grevler

 

Ankara Matematik Gnleri 2019, Bilim Kurulu yeliği, Gazi niv. Ankara 2019

Bilim Kahramanları Derneği, Yılın Bilim İnsanı dl seici kurul yeliği, 2018

TBA-TESEP Jri yeliği, 2018

Ankara Matematik Gnleri 2018, Bilim Kurulu yeliği, Hacettepe niv. Ankara 2018

Ankara Matematik Gnleri 2017, Bilim Kurulu yeliği, Hacettepe niv. Ankara 2017

Lebanese Inter. Conference on Math. Appl. (LICMA17), Bilim Kurulu yeliği, Beirut, 2017

TBA-GEBİP Jri yeliği, 2016

Lebanese Inter. Conference on Math. Appl. (LICMA17), Bilim Kurulu yeliği, Beirut, 2015

XII. Matematik Sempozyumu, Bilim Kurulu-Proğram Komite yeliği, Hacettepe niv. Ankara, 2013

XI. Matematik Sempozyumu, Bilim Kurulu yeliği, Ondokuz Mayıs niv. Samsun, 2012

X. Matematik Sempozyumu, Bilim Kurulu yeliği, Işık niv. İstanbul, 2011

V. Ankara Matematik Gnleri, Bilim Kurulu yeliği, TOBB ETU, Ankara 2010

American Mathematical Society

 

 

 


Uluslararası Bilimsel Dergi Makaleleri

 

1) D. Taşcı and E. Kılı, On the order-k generalized Lucas numbers, Applied Mathematics Computation 155(3) (2004), 637641.

 

2) E. Kılı and D. Taşcı, On the generalized order-k Fibonacci and Lucas numbers, Rocky Mountain J. Math. 36(6) (2006), 19151926.

 

3) E. Kılı and D. Taşcı, The linear algebra of the Pell matrix, Bulletin of the Mexican Mathematical Society 2(11) (2005), 163174.

 

4) E. Kılı, B. Altunkaynak and D. Taşcı, On the computing of the generalized order-k Pell numbers in log time, Applied Mathematics Computation 181(1) (2006), 511515.

 

5) E. Kılı and D. Taşcı, The generalized Binet formula, representation and sums of the generalized order-k Pell numbers, Taiwanese J. Math. 10(6) (2006), 16611670.

 

6) E. Kılı and D. Taşcı, Factorizations and representations of the backward second order linear recurrences, J. Comput. Appl. Math. 201(1) (2007), 182197.

 

7) E. Kılı, The generalized order-k Fibonacci-Pell sequence by matrix methods, J. Comput. Appl. Math. 209(2) (2007), 133145.

 

8) E. Kılı, Sums of generalized Fibonacci numbers by matrix methods, Ars Combinatoria, 84 (2007), 2331.

 

9) E. Kılı 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), 203219.

 

10) E. Kılı and D. Taşcı, On sums of second order linear recurrences by hessenberg matrices, Rocky Mountain J. Math. 38(2) (2008), 531544.

 

11) E. Kılı, Sums of the squares of terms of sequence {Un}, Proc. Indian Acad. Sci. 118(1) (2008), 2741.

 

12) E. Kılı, The Binet formula, sum and representations of generalized Fibonacci p-numbers, European Journal of Combinatorics 29(3) (2008), 701711.

 

13) E. Kılı, Explicit formula for the inverse of a tridiagonal matrix by backward continued fractions, Applied Mathematics Computation 197(1) (2008), 345357.

 

14) E. Kılı, Formulas for sums of generalized order-k Fibonacci type, Ars Combinatoria 86 (2008), 395402.

 

15) E. Kılı, Tribonacci sequences with certain indices and their sums, Ars Combinatoria 86 (2008), 1322.

 

16) E. Kılı and M. El-Mikkawy, A computational algorithm for special nth order pentadiagonal Toeplitz determinants, Applied Mathematics Computation 199(2) (2008), 820822.

 

17) E. Kılı, On a constant-diagonals matrix, Applied Mathematics Computation 204(1) (2008), 184190.

 

18) E. Kılı and D. Tasci, Generalized order-k Fibonacci and Lucas functions, Rocky Mountain J. Math. 38(6) (2008), 19912007.

 

19) E. Kılı and N. Irmak, Reciprocal sums of l-th power of generalized binary sequences with indices, Ars Combintoria 88 (2008), 407413.

 

20) E. Kılı, On the usual Fibonacci and generalized order-k Pell numbers, Ars Combinatoria 88 (2008), 3345.

 

21) E. Kılı, G. N. Stanica and P. Stanica, Spectral properties of some combinatorial matrices, Congressus Numerantium Vol. 201, Proc. Inter. Conf. Fibonacci Numbers & Appl. (2010), 223236.

 

22) E. Kılı and D. Tasci, On families of bipartite graphs associated with sums of Fibonacci and Lucas numbers, Ars Combinatoria 89 (2008), 3140.

 

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

 

24) E. Kılı, On the second order linear recurrences by tridiagonal matrices, Ars Combinatoria 91 (2009), 1118.

 

25) E. Kılı, The generalized Pell (p,i)-numbers and their Binet formulas, combinatorial representations, sums, Chaos, Solitons and Fractals 40 (2009), 20472063.

 

26) E. Kılı 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), 22102221.

 

27) E. Kılı, N. mr, G. Tatar and Y. Ulutaş, Factorizations of the Pascal matrix via generalized second order recurrent matrix, Hacettepe J. Mathematics and Statistics 38(3) (2009), 305316.

 

28) E. Kılı and D. Taşcı, On the second order linear recurrence satisfied by the permanent of generalized doubly stochastic matrices, Ars Combinatoria 93 (2009), 114.

 

29) E. Kılı, N. mr and Y. Ulutaş, Matrix representations for the second order recurrence {Ukn}, Ars Combinotaria 93 (2009), 181190.

 

30) E. Kılı, More general identities involving the terms of {Wn(a,b;p,q)}, Ars Combinatoria 93 (2009), 459461.

 

31) E. Kılı 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), 2336.

 

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

 

33) E. Kılı and D. Taşcı, On the generalized Fibonacci and Pell sequences by hessenberg matrices, Ars Combinatoria 94 (2010), 161174.

 

34) E. Kılı and D. Taşcı, On families of bipartite graphs associated with sums of generalized order-k Fibonacci and Lucas numbers, Ars Combinatoria 94 (2010), 1323.

 

35) E. Kılı and N. mr, Conics characterizing the generalized Fibonacci and Lucas sequences with indices in arithmetic progressions, Ars Combinatoria 94 (2010), 459464.

 

36) E. Kılı and H. Prodinger, A generalized Filbert matrix, The Fibonacci Quarterly 48(1) (2010), 2933.

 

37) E. Kılı, D. Taşcı and P. Haukkanen, On the generalized Lucas sequences by hessenberg matrices, Ars Combinatoria 95 (2010), 383395.

 

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

 

39) E. Kılı and E. J. Ionascu, Certain binomial sums with recursive coefficients, The Fibonacci Quarterly 48(2) (2010), 161167.

 

40) E. Kılı and H. Prodinger, A proof of a conjecture of Melham, The Fibonacci Quarterly 48 (2010), 241248.

 

41) E. Kılı, Second order linear recursions whose subscripts are a power, Miskolc Mathematical Notes 11(2) (2010), 151161.

 

42) E. Kılı and P. Stanica, The Lehmer matrix and its recursive analogue, Journal of Combinatorial Mathematics and Combinatorial Computing 74 (2010), 193207.

 

43) E. Kılı, On binomial sums for the general second order linear recurrence, Integers: The Electronic Journal of Combinatorial Number Theory #A57, 10 (2010), 801806.

 

44) E. Kılı and P. Stanica, A matrix approach for general higher order linear recurrence, Bulletin of the Malaysian Mathematical Sciences Society (2) 34 (2011), 5167.

 

45) E. Kılı and N. Irmak, Binomial identities involving the generalized Fibonacci type polynomials, Ars Combinatoria 98 (2011), 129134.

 

46) E. Kılı, N. mr and Y. Ulutaş, Binomial sums whose coefficients are products of terms of binary sequences, Utilitas Mathematica 84 (2011), 4552.

 

47) E. Kılı, Y. Ulutaş and N. mr, Sums of products of the terms of generalized Lucas sequence {Vkn}, Hacettepe J. Mathematics and Statistics 40(2) (2011), 147161.

 

48) E. Kılı and P. Stanica, Factorizations and representations of binary polynomial recurrences by matrix methods, Rocky Mountain J. Mathematics 41(4) (2011), 12471264.

 

49) E. Kılı, Y. Ulutaş and N. mr, 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.

 

50) E. Kılı, N. mr and Y. Ulutaş, Alternating sums of the powers of Fibonacci and Lucas numbers, Miskolc Mathematical Notes 12(1) (2011), 87103.

 

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

 

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

 

53) E. Kılı, H. Prodinger and H. Ohtsuka, Formulas for Fibonomial sums with generalized Fibonacci and Lucas coefficients, The Fibonacci Quarterly 49(4) (2011), 320329.

 

54) E. Kılı and H. Ohtsuka, Some generalized Fibonomial sums related with the Gaussian q-binomial sums, Bulletin Mathmatique de la Socit des Sciences Mathmatiques de Roumanie 55(103) (2012), 5161.

 

55) E. Kılı, Y. Ulutaş and N. mr, Formulas for weighted binomial sums with the powers of terms of binary recurrences, Miskolc Mathematical Notes 13(2012), 5365.

 

56) E. Kılı, A matrix approach for generalizing two curious divisibility properties, Miskolc Mathematical Notes 13(2) (2012), 389396.

 

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

 

58) E. Kılı and H. Prodinger, The q-Pilbert matrix, International Journal Computers Mathematics 89 (2012), 13701377.

 

59) E. Kılı and P. Stanica, General approach in computing sums of products of binary sequences, Hacettepe Journal of Mathematics and Statistics 42 (2013), 17.

 

60) E. Kılı and P. Stanica, The inverse of banded matrices, Journal of Computational and Applied Mathematics 237(1) (2013), 126135.

 

61) E. Kılı and T. Arıkan, More on the infinite sum of reciprocal usual Fibonacci, Pell and higher order recurrences, Applied Mathematics Computation 219 (2013), 77837788.

 

62) E. Kılı and N. mr, Some weighted sums of products of Lucas sequences, Integers: The Electronic J. Combinatorial Number Theory 13 (2013), #A27, 19.

 

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

64) E. Kılı and H. Prodinger, Some double binomial sums related to Fibonacci, Pell and generalized order-k Fibonacci numbers, Rocky Mountain J. Mathematics 43(3) (2013), 975987.

 

65) E. Kılı, Sylvester-tridiagonal matrix with alternating main diagonal entries and its spectra, International Journal Nonlinear Sciences and Numerical Simulation 14(5) (2013), 261266.

 

66) E. Kılı and H. Prodinger, Asymmetric generalizations of the Filbert matrix and variants, Publications de'l Institut Mathematique 95(109) (2014), 267280.

 

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

 

68) E. Kılı and Aynur Yalıner, New sums identities in weighted Catalan triangle with the powers of generalized Fibonacci and Lucas numbers, Ars Combinatoria 115 (2014), 391400.

 

69) E. Kılı and H. Prodinger, A generalization of a conjecture of Melham, Utilitas Mathematica 93 (2014), 225232.

 

70) E. Kılı and H. Prodinger, The generalized q-Pilbert matrix, Mathematica Slovaca 64(5) (2014), 110.

 

71) E. Kılı, A proof of a conjecture of Marques and Trojovsky, Miskolc Mathematical Notes 2(2) (2014), 545557.

 

72) E. Kılı, Y. Ulutaş and N. mr, Generalized binary recurrent quasi-cyclic matrices, Annales Mathematicae et Informaticae 43 (2014), 103112.

 

73) E. Kılı and H. Prodinger, Formulae related to the q-Dixon formula with applications to Fibonomial sums, Periodica Mathematica Hungarica. 70 (2015), 216226.

 

74) E. Kılı, Some subsequences of the generalized Fibonacci and Lucas numbers, Utilitas Mathematica 97 (2015), 233239.

 

75) E. Kılı, N. mr and Y. Ulutaş, Various sums including the generalized Fibonacci and Lucas numbers, Palestine J. Mathematics 4(2) (2015) , 319326.

 

76) E. Kılı and H. Prodinger, Sums of products of generalized Fibonacci and Lucas numbers, Acta Mathematica Hungarica 145(1) (2015), 1725.

 

77) E. Kılı and H. Prodinger, Closed form evaluation of sums containing squares of Fibonomial coefficients, Mathematica Slovaca 66(3) (2016), 757765.

 

78) E. Kılı and Hacene Belbachir, Generalized double binomial sums families by generating functions, acceped in Utilitas Mathematica.

 

79) E. Kılı, N. mr and Y. Ulutaş, Formulas for binomial sums including powers of Fibonacci and Lucas numbers, U.P.B. Sci. Bull. Series A 77 (4) (2015), 6978.

 

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

 

81) E. Kılı and H. Prodinger, Evaluation of sums involving Gaussian q-binomial coefficients with rational weight functions, International J. Number Theory 12(2) (2016), 495504.

 

82) E. Kılı and G. Kızılaslan, A variant of the reciprocal super Catalan matrix with two additional parameters, Special Matrices 3 (2015), 163168.

 

83) E. Kılı, N. mr, Y. Ulutaş, Generalized binomial convolution of the mth powers of the consecutive integers with the general Fibonacci sequence, Demonstratio Mathematica 49(4) (2016), 379385.

 

84) E. Kılı and T. Arıkan, Evaluation of spectrum of 2-periodic tridiagonal-Sylvester matrix, Turkish J. Mathematics 40 (2016), 8089.

 

85) E. Kılı and H. Prodinger, The generalized Lilbert matrix, Periodica Mathematica Hungarica 73(1) (2016), 6272.

 

86) E. Kılı and T. Arıkan, The generalized reciprocal super Catalan matrix, Turkish J. Mathematics 40 (2016), 960972.

 

87) E. Kılı, Some new classes of alternating weighted binomial sums, Annals of the Alexandru Ioan Cuza UniversityMathematics 3(2) (2016), 835843.

 

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

 

89) E. Kılı and H. Prodinger, Some Gaussian binomial sum formul with applications, Indian J. Pure Appl. Math. 47(3) (2016), 399407.

 

90) E. Kılı, N. mr, S. Koparal, Y. Ulutaş, Two variants of the reciprocal super Catalan matrix, Kyungpook Mathematical Journal 56(2) (2016), 409418.

 

91) E. Kılı and H. Prodinger, Identities with squares of binomial coefficients: An elementary and explicit approach, Publications de l'Institut Mathematique 99(113) (2016), 243248.

 

92) E. Kılı and H. Prodinger, Closed form evaluation of restricted sums containing squares of Fibonomial coefficients, U.P.B. Sci. Bull. Series A 78(4) (2016), 5766.

 

93) E. Kılı and A. Yalıner, On sums of squares of Fibonomial coefficients by q-calculus, Asian-European J. Math. 9(3) (2016), 14 pp.

 

94) N. Irmak and E. Kılı, Decompositions of the Cauchy and Ferrers-Jackson polynomials, Mathematical Communications, 21 (2016), 163170.

 

95) E. Kılı, Evaluation of sums containing triple aerated generalized Fibonomial coefficients, Mathematica Slovaca 67(2) (2017), 355370.

 

96) E. Kılı and H. Prodinger, The matrix of super Patalan numbers and its factorizations, Filomat 31(8) (2017), 23372344.

 

97) E. Kılı and H. Prodinger, Closed form evaluation of Melham's reciprocal sums, Miskolc Mathematical Notes 18(1) (2017), 251264.

 

98) E. Kılı and T. Arıkan, A class of non-symmetric band determinants with the Gaussian q-binomial coefficients, Quaestiones Mathematicae 40(5) (2017), 645660.

 

99) E. Kılı and H. Prodinger, Evaluation of sums involving products of Gaussian q-binomial coefficients with applications to Fibonomial sums, Turkish J. Mathematics 41 (2017), 707716.

 

100) E. Kılı and T. Arıkan, Evaluation of Hessenberg determinants via generating function approach, Filomat  31(15) (2017), 49454962.

 

101) E. Kılı, N. mr and S. Koparal, On alternating weighted binomial sums with falling factorials, Bulletin of Mathematical Analysis and Applications 9(1) (2017), 5864.

 

102) E. Kılı, 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), 7999.

 

103) E. Kılı, On Fibonomial sums identities with special sign functions: analytically q-calculus approach, Mathematica Slovaca 68(3) (2018), 501512.

 

104) E. Kılı and T. Arıkan, Double binomial sums and double sums related with certain linear recurrences of various order, Chiang Mai J. Science 45(3) (2018), 15691577.

 

105) E. Kılı, N. Omur and S. Koparal, Formulae for two weighted binomial identites with the falling factorials, Ars Combinatoria 138 (2018), 223231.

 

106) E. Kılı, Evaluation of various partial sums of Gaussian q-binomial sums, Arabian Journal of Mathematics 7(2) (2018), 101112.

 

107) E. Kılı, Three binomial sums weighted by falling and rising factorials, Turkish J. Mathematics 42 (2018), 876880.

 

108) T. Hopkins, E. Kılı, An analytical approach: Explicit inverses of periodic tridiagonal matrices, Journal of Computational and Applied Mathematics 335 (2018), 207226.

 

109) E. Kılı and T. Arıkan, A nonlinear generalization of the Filbert matrix and its Lucas analogue, Linear and Multilinear Algebra 67(1) (2019), 141157.

 

110) E. Kılı and F. Taşdemir, On binomial double sums with Fibonacci and Lucas numbers-I, Ars Combinatoria 144 (2019), 173185.

 

111) E. Kılı and H. Prodinger, Evaluation of sums involving products of Gaussian q-binomial coefficients with applications, Mathematica Slovaca 69(2) (2019), 327338.

 

112) E. Kılı, Sibel Koparal and Neşe mr, New asymmetric generalizations of the Filbert and Lilbert matrices, Periodica Mathematica Hungarica 78 (2019), 231241.

 

113) E. Kılı, Partial sums of the Gaussian q-binomial coefficients, their reciprocals, square and squared reciprocals with applications, Miskolc Mathematical Notes 20(1) (2019), 299310.

 

114) T. Arıkan, E. Kılı and H. Prodinger, A nonsymmetrical matrix and its factorizations, Mathematica Slovaca 69(4) (2019), 753762.

115) E. Kılı and T. Arıkan, A Proof of Clarke's Conjecture, The Mathematical Gazette 103(26) (2019), 346352.

 

116) E. Kılı and T. Arıkan, Studying new generalizations of Max-Min matrices with a novel approach, Turkish J. Mathematics 43 (2019), 20102024.

 

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

 

118) E. Kılı and F. Taşdemir, On binomial double sums with Fibonacci and Lucas numbers-II, Ars Combinatoria 144 (2019), 345354.

 

119) E. Kılı and Didem Ersanlı, New reciprocal sums involving finite products of second order recursions, Miskolc Math. Notes 20(2) (2019), 10391050.

 

120) E. Kılı and H. Prodinger, A wide class of Combinatorial matrices related with reciprocal Pascal and super Catalan matrices, Contributions to Discrete Mathematics 14 (1) (2019), 80104.

 

121) Wenchang Chu and E. Kılı, Cubic sums of q-binomial coefficients and the Fibonomial Coefficients, Rocky Mountain J. Math. 49(8) (2019), 25572569.

 

122) Wenchang Chu and E. Kılı, 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. Kılı, An observation on the determinant of a Sylvester-Kac type matrix, An. Şt. Univ. Ovidius Constanta 28(1) (2020), 111115.

 

124) Hacer Bozdag, E. Kılı, New Filbert and Lilbert matrices with asymmetric entries, Mathematica Slovaca, 70(2) (2020), 289296.

 

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

 

126) E. Kılı, Sibel Koparal and Neşe mr, 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. Kılı and Funda Taşdemir, New binomial double sums with products of Fibonacci and Lucas numbers, accepted in Utilitas Mathematica.

 

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

 

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

 

130) E. Kılı, 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. Kılı, A matrix approach to some second-order difference equations with sign-alternating coefficients, accepted in Journal of Difference Equations and Applications.

 

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

 

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


Science Directte en ok okunan ilk 25 yayın sıralamasında Birinci olan SCI kapsamlı bilimsel makaleler

 

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

 

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

 

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

 

Sempozyum ve Seminerler

 

A new generalization of the Sylevester matrix and its explicit spectrum, Kuwait Univ. Kasım 2019 (davetli konuşmacı)

 

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. (Davetli Konuşmacı)

 

Analysis methods in number theory problems, MATDER, 14. Mathematics Symposium, Niğde University, May 2015 (Davetli Konuşmacı)

 

Generalized binomial coefficients and their various sums by q-calculus, Hacettepe niversitesi Matematik Blm, Ankara, Haziran 2013

 

Higher order linear recurrences by matrix methods, Bilkent niversitesi Matematik Blm, Ankara, Mayıs 2013.

 

An another symmetric Fibonacci matrix-II (G. zdemir ile), RAMA8, Algeria, 2012.

 

A symmetric Fibonacci matrix-I (L. etinkaya ile), RAMA8, Algeria, 2012.

 

Some new kinds of generalized Fibonomial sums, RAMA8, Algeria, 2012. (Davetli Konuşmacı)

 

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, (T. Arıkan ile) 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, (Y. T. Ulutaş ile) DIMACOS11, Morocco 2011

 

Finite sums involving generalized Fibonacci and Lucas numbers, (N. mr ile) DIMACOS11, Morocco 2011

 

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

 

On sums of the product of terms of the generalized Lucas sequences, Ankara Matematik Gnleri, 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 Univ. 2008

 

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

 

Antalya Cebir Gnleri, Antalya 2005

 

Pell matrices and matrix representation of Pell numbers, XVII. Ulusal Matematik Sempozyumu, Bolu 2004

 

On the order-k generalized Lucas numbers, Antalya Cebir Gnleri, Antalya, 2003