PUBLICATIONS
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, On the
generalized order-k Fibonacci and Lucas numbers, Rocky Mountain
Journal of Mathematics 36 (6) (2006), 1915–1926.
3. E. Kılıç and D.
Taşcı, The linear
algebra of the Pell matrix, Bulletin of the Mexican Mathematical Society 2
(11) (2005), 163–174.
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, J. Comput.
Appl. Math. 201 (1) (2007), 182–197.
7. E. Kılıç, The generalized order-k Fibonacci-Pell
sequence by matrix methods, J. Comput. Appl. Math. 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 Journal of Mathematics 37 (6) (2007), 203–219.
10. E. Kılıç and D.
Taşcı, On sums of
second order linear recurrences by Hessenberg matrices, Rocky Mountain
Journal of Mathematics 38 (2) (2008), 531–544.
11. E. Kılıç, Sums of the squares of terms
of sequence {un}, 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, 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 nth 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 Journal
of Mathematics 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, G. N.
Stanica and P. Stanica, Spectral properties of some
combinatorial matrices, Congressus Numerantium Vol. 201, Proc.
International Conf. Fibonacci Numbers & Applications (2010), 223–236.
22. E. Kılıç and D.
Tasci, On families
of bipartite graphs associated with sums of Fibonacci and Lucas numbers,
Ars Combinatoria 89 (2008), 31–40.
23. 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.
24. E. Kılıç, On the second order linear
recurrences by tridiagonal matrices, Ars Combinatoria 91 (2009), 11–18.
25. E. Kılıç, The generalized Pell (p,i)-
numbers and their Binet formulas, combinatorial representations, sums, Chaos,
Solitons and Fractals 40 (2009), 2047–2063.
26. 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.
27. E. Kılıç, N.
Ömür, G. Tatar and Y. Ulutaş, Factorizations of the
Pascal matrix via generalized second order recurrent matrix, Hacettepe Journal
of Mathematics and Statistics 38 (3) (2009), 305–316.
28. 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.
29. E. Kılıç, N.
Ömür and Y. Ulutaş, Matrix
representations for the second order recurrence {Ukn}, Ars
Combinotaria 93 (2009), 181–190.
30. E. Kılıç, More general identities
involving the terms of {Wn(a,b;p,q)}, Ars Combinatoria 93
(2009), 459–461.
31. 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.
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 (3) (2010), 241–248.
41. E. Kılıç, Second order linear
recursions whose subscripts are a power, Miskolc Mathematical Notes 11 (2)
(2010), 151–161.
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, A matrix
approach for general higher order linear recurrence, Bulletin of the
Malaysian Mathematical Sciences Society (2) 34 (1) (2011), 51–67.
45. E. Kılıç and N.
Irmak, Binomial
identities involving the generalized Fibonacci type polynomials, Ars
Combinatoria 98 (2011), 129–134.
46. E. Kılıç, N.
Ömür and Y. Ulutaş, Binomial
sums whose coefficients are products of terms of binary sequences, Utilitas
Mathematica 84 (2011), 45–52.
47. E. Kılıç, Y.
Ulutaş and N. Ömür, Sums
of products of the terms of generalized Lucas sequence {Vkn},
Hacettepe Journal of Mathematics and Statistics 40 (2) (2011), 147–161.
48. E. Kılıç and P.
Stanica, Factorizations
and representations of binary polynomial recurrences by matrix methods,
Rocky Mountain Journal of Mathematics 41 (4) (2011), 1247–1264.
49. 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.
50. 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.
51. E. Kılıç and P.
Stanica, Generating
matrices of C-nomial
coefficients and their spectra, accepted in Proc. International Conf.
Fibonacci Numbers & Applic. 2010.
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) (1) (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 (1) (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 (10) (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 (1) (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 (14) 2013, 7783–7788.
62. E. Kilic and N.
Ömür, Some
weighted sums of products of Lucas sequences, Integers: The Electronic
Journal of 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 Journal of 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,
(short version) Periodica
Mathematica Hungarica. (long version)
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 Journal of 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 and H.
Prodinger, Closed
form evaluation of sums containing squares of Fibonomial coefficients,
Mathematica Slovaca 66 (3) (2016), 757–765.
78. E. Kılıç and
Hacene Belbachir, Generalized
double binomial sums families by generating functions, acceped in Utilitas Mathematica.
79. 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.
80. E. Kılıç, N.
Ömür, Y. Ulutaş, A curious
matrix-sum identity and certain finite sums identities, Asian-European J. Math. 8 (3) (2015),
#1550047.
81. E. Kılıç and H.
Prodinger, Evaluation of
sums involving Gaussian q-binomial coefficients with rational
weight functions, International
Journal of Number Theory 12 (2) (2016), 495–504.
82. Emrah Kılıç and
G. Kızılaslan, A variant of
the reciprocal super Catalan matrix with two additional parameters, Spec.
Matrices 3 (2015); 163–168.
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. Math. 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. Math. 40 (2016), 960-972.
87. E. Kılıç, Some 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, Neşe
Ömür, Sibel Koparal, Yücel 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),
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 Journal 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 Journal of 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) E. Kılıç and Funda
Taşdemir, New binomial double sums with products of Fibonacci and Lucas
numbers, Utilitas Mathematica 112 (2019), 187-196.
123) Wenchang Chu and E.
Kılıç, Quadratic sums of Gaussian q-binomial coefficients and Fibonomial
coefficients, The Ramanujan Journal 51(2) (2020), 229-243.
124) 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.
125) Hacer Bozdag, E.
Kılıç, New Filbert and Lilbert matrices with asymmetric entries, Mathematica
Slovaca 70(2) (2020), 289–296.
126) E. Kılıç and H.
Prodinger, Formulæ for multi-parameter Gaussian q-binomial sums with
applications, Indian J. Pure Appl. Math. 51(2) (2020), 457-464.
127) E. Kılıç, Sibel
Koparal and Neşe Ömür, New analogues of the Filbert and Lilbert matrices via
products of two k-tuples asymmetric entries, Hacettepe J. Math. Stat. 49 (2)
(2020), 684 – 694.
128) T. Arıkan, E. Kılıç
and H. Prodinger, Evaluation of sums of products of Gaussian q-binomial
coefficients with rational weight functions, Turkish J. Math. 44 (2020),
307-318.
129) E. Kılıç, S.
Koparal, N. Omur, Powers sums of the first and second kinds of Chebyshev
polynomials, Iranian J. Science and Tech. Transactions A: Science 44 (2020), 425–435.
130) Wenchang Chu and E.
Kılıç, Q-binomial formulae of Dixon's
type and the Fibonomial sums, Applicable
Analysis and Discrete Mathematics 14(2) (2020), 335-348.
131) E. Kılıç, S.
Koparal, N. Omur, Nonlinear variants of the generalized Filbert and Lilbert
matrices, Turkish J. Mathematics 44 (2020), 622–642.
132) C.M. da Fonseca, E.
Kılıç and A. Pereira, The interesting spectral interlacing property for a
certain tridiagonal matrix, Electronic Journal of Linear Algebra 36 (2020), 587–598.
133) C.M. da Fonseca, E.
Kılıç, A new type of Sylvester-Kac matrix and its spectrum, Linear Multilinear
Algebra 69(6) (2021), 1072–1082.
134) E. Kılıç and N.
Omur, Diophantine equations related with linear binary recurrences, Iranian
Journal of Mathematical Sciences and Informatics 17:1 (2022), 11–26.
135) Milica
Anđelić, Zhibin Du, Carlos M. da Fonseca and E. Kılıç, A matrix
approach to some second-order difference equations with sign-alternating
coefficients, Journal of Difference Equations and Applications 26:2
(2020), 149–162
136) Wenchang Chu and E.
Kılıç, Three determinant evaluations, Bulletin of the Malaysian Mathematical
Sciences Society 44 (2021), 1691–1700.
137) Wenchang Chu and E.
Kılıç, Binomial sums involving Catalan numbers, Rocky Mountain J. Math. 51(4)
(2021), 1221–1225.
138) Omojola Micheal and
E. Kılıç, A class of symmetric and non-symmetric band matrices via binomial
coefficients, Special Matrices 9 (2021), 321–330.
139) Abdullah Alazemi,
Carlos M. da Fonseca and E. Kılıç, The
spectrum of a new class of Sylvester-Kac matrices, Filomat 35:12 (2021),
4017–4031
140) Tim Hopkins and
Emrah Kılıç, Analytically explicit inverse of a kind of periodic tridiagonal
matrix using a backward continued fraction approach, Journal of Applied Analysis
& Computation 12:6 (2022), 1–15.
141) Milica Andelic,
Carlos M. da Fonseca, Emrah Kilic, Zoran Stanic, A Sylvester-Kac matrix type
and the Laplacian controllability, The Electronic Journal of Linear Algebra 38
(2022), 559–571.
142) Wenchang Chu and Emrah
Kılıç, Perturbed Toeplitz matrices and their LU-decompositions, Mathematical
Notes 113(1) (2023), 39–48.
143) Emrah Kılıç and
Didem Ersanlı, Harmony of asymmetric variants of the Filbert and Lilbert
matrices in q-form, Mathematica
Slovaca 73(3) (2023), 633–642.
144) Wenchang Chu and
Emrah Kılıç, Fibonomial and Lucanomial sums through well-poised q-series, Hacettepe Journal of
Mathematics and Statistics 52 (1) (2023), 62–72.
145) Wenchang Chu and
Emrah Kılıç, Left and right eigenvectors of a variant of Sylvester-Kac Matrix,
accepted in Bulletin of the Australian Mathematical Society.
146) Abdullah Alazemi and
E. Kılıç, Determinant evaluation of banded Toeplitz matrices via bivariate
polynomial families, accepted in Applicable Analysis and Discrete Mathematics.
147) Emrah Kılıç and
Didem Ersanlı, Curious harmony in asymmetric & nonlinear variant of Filbert
and Lilbert matrices, accepted in Hacettepe Journal of Mathematics and
Statistics
148) Emrah Kılıç, A wide
class of pentadiagonal determinants via certain polynomial families, accepted
in Mathematical Notes.
149) Emrah Kılıç and
Didem Ersanlı, A nonlinear Filbert-like matrix with three free parameters: From
linearity to nonlinearity, accepted in Mathematica Slovaca.
150) John M. Campbell and
Emrah Kılıç, Binomial sums involving second-order linearly recurrent sequences,
accepted in The Fibonacci Quarterly.