Curriculum Vitae

 

EMRAH KILI

 

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/

 

Education

 

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

 

Research Areas

 

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

 


 

Scientific Journals Editorships

 

 

A) 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

 

 

ISRN Combinatorics, Area Editor, 2012 Present

 

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

 

European Journal of Pure and Applied Mathematics, Area Editor, 2009 Present

 

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

 


 

Academic memberships and Duties

 

 

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

 

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

 

Ankara Mathematics Days 2018, Member of Science Committee, TOBB ETU, Ankara 2018

 

Ankara Mathematics Days 2017, Member of Science Committee, Hacettepe University, Ankara 2017

 

Lebanese International Conference on Mathematics and Applications (LICMA17), Member of Science Committee, Beirut, 2017

 

Turkish Academy of Sciences (TBA)-GEBP Member of Science Committee, 2016

 

Lebanese International Conference on Mathematics and Applications (LICMA15), Member of Science Committee, Beirut, 2015

 

XII. Mathematics Symposium, Members of Science and Program Committees, Hacettepe University, Ankara, 2013

 

XI. Mathematics Symposium, Member of Science Committee, Ondokuz Mays University, Samsun, 2012

 

X. Mathematics Symposium, Member of Science Committee, Ik University, stanbul, 2011

 

Ankara Mathematic Days 2010, Member of Science Committee, TOBB ETU, Ankara, 2010

 

American Mathematical Society


 

Papers

 

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

 

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

 

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

 

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

 

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

 

6) E. Kl and D. Tac, Factorizations and representations of the backward second order linear recurrences, Journal of Computational and Applied Mathematics 201(1) (2007), 182197.

 

7) E. Kl, The generalized order-k Fibonacci-Pell sequence by matrix methods, Journal of Computational and Applied Mathematics 209(2) (2007), 133145.

 

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

 

9) E. Kl and D. Tac, 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. Kl and D. Tac, On sums of second order linear recurrences by Hessenberg matrices, Rocky Mountain J. Math. 38(2) (2008), 531544.

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

25) E. Kl 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.

 

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

 

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

 

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

 

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

 

30) E. Kl 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.

 

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

 

32) E. Kl, The generalized Fibonomial matrix, European Journal of Combinatorics 31(2010), 193209.

 

33) E. Kl and D. Tac, On the generalized Fibonacci and Pell sequences by Hessenberg matrices, Ars Combinatoria 94(2010), 161174.

 

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

 

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

 

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

 

37) E. Kl, D. Tac and P. Haukkanen, On the generalized Lucas sequences by Hessenberg matrices, Ars Combinatoria 95(2010), 383395.

 

38) E. Kl and D. Tac, Negatively subscripted Fibonacci and Lucas numbers and their complex factorizations, Ars Combinatoria 96(2010), 275288.

 

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

 

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

 

41) E. Kl, Second order linear recursions whose subscripts are a power, Miskolc Mathematical Notes 11(2) (2010), 151162.

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

50) E. Kl, Y. Uluta 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.

 

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

 

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

 

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

 

54) E. Kl, . Akku 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. Kl, Y. Uluta and N. mr, Formulas for weighted binomial sums with the powers of terms of binary recurrences, Miskolc Mathematical Notes 13(2012), 5365.

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

63) E. Kl and H. Prodinger, Variants of the Filbert matrix, The Fibonacci Quarterly 51(2) (2013), 153162.

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

78) E. Kl and Hacene Belbachir, Generalized double binomial sums families by generating functions, Utilitas Mathematica 104 (2017), 161174.


 

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

 

80) E. Kl, . Akku and G. Kzlaslan, A variant of the reciprocal super Catalan matrix with two additional parameters, Special Matrices 3(2015), 163168.

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

99) E. Kl 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. Kl and T. Arkan, Evaluation of Hessenberg determinants via generating function approach, Filomat  31(15) (2017), 49454962.

 

101) E. Kl, 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. Kl, T. Mansour and T. Arkan, 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. Kl and I. Akkus, On Fibonomial sums identities with special sign functions: analytically q-calculus approach, Mathematica Slovaca 68(3) (2018), 501512.

 

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

 

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

 

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

 

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

 

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

 

109) E. Kl and T. Arkan, A nonlinear generalization of the Filbert matrix and its Lucas analogue, accepted in Linear and Multilinear Algebra

 

110) E. Kl and F. Tademir, On binomial double sums with Fibonacci and Lucas numbers-I, accepted in Ars Combinatoria

 

111) E. Kl and F. Tademir, On binomial double sums with Fibonacci and Lucas numbers-II, accepted in Ars Combinatoria

 

112) E. Kl, Sibel Koparal and Nee mr, New asymmetric generalizations of the Filbert and Lilbert matrices, accepted in Periodica Mathematica Hungarica

 

113) Wenchang Chu and E. Kl, Quadratic sums of Gaussian q-binomial coefficients and Fibonomial coefficients, accepted in The Ramanujan Journal

 

114) E. Kl and H. Prodinger, A wide class of Combinatorial matrices related with reciprocal Pascal and super Catalan matrices, accepted in Contributions to Discrete Mathematics

 

115) E. Kl and H. Prodinger, Evaluation of sums involving products of Gaussian q-binomial coefficients with applications, accepted in Mathematica Slovaca

 

116) E. Kl and . Akku, Partial sums of the Gaussian q-binomial coefficients, their reciprocals, square and squared reciprocals with applications, accepted in Miskolc Mathematical Notes

 

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

 

 

 


 

Most downloaded papers from SCI indexed journals based on data of Science Direct

 

 

Emrah Kl, The Binet formula, sums and representations of generalized Fibonacci p-numbers, European Journal of Combinatorics, 29(3) (2008) 701711.

 

Emrah Kl, The generalized Fibonomial matrix, European Journal of Combinatorics, 31(2010) 193209.

 

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

 

 

 

 


 

Symposiums and Seminars

 

 

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, Nide 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. zdemir), RAMA8, Algeria, 2012.

 

A symmetric Fibonacci matrix-I (with L. etinkaya), 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. Arkan) 15th Inter. Conference on Fibonacci Numbers and Their Appl. Eger-Hungary, 2012.

 

Some Gaussian q-binomial sums and its applications, (with I. Akku) ICAAA2011, stanbul 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. Uluta) DIMACOS 11, Morocco 2011.

 

Finite sums involving generalized Fibonacci and Lucas numbers, (with N. mr) 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 Gnleri, 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.


 

Awards

 

TOBB ET incentive awards (for many times)

Tubitak incentive awards (for many times)

Gazi University incentive awards (for many times)

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