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Author ID: kilic.emrah Recent zbMATH articles by "Kilic, Emrah"
Published as: Kiliç, Emrah; Kılıç, Emrah; Kilic, Emrah; Kiliç, E.; Kılıç, E.; Kilic, E.; Kılıc, Emrah
Homepage: http://ekilic.etu.edu.tr/
External Links: MGP · Google Scholar · ResearchGate · dblp
Documents Indexed: 141 Publications since 2004
Co-Authors: 35 Co-Authors with 122 Joint Publications
746 Co-Co-Authors
all top 5

Serials

20 Ars Combinatoria
8 Rocky Mountain Journal of Mathematics
8 Mathematica Slovaca
8 Miskolc Mathematical Notes
7 Turkish Journal of Mathematics
6 Applied Mathematics and Computation
6 The Fibonacci Quarterly
5 Utilitas Mathematica
5 Hacettepe Journal of Mathematics and Statistics
4 Journal of Computational and Applied Mathematics
3 Periodica Mathematica Hungarica
3 Journal of Integer Sequences
3 Integers
2 Indian Journal of Pure & Applied Mathematics
2 Linear and Multilinear Algebra
2 Mathematical Notes
2 Chaos, Solitons and Fractals
2 Publications de l’Institut Mathématique. Nouvelle Série
2 European Journal of Combinatorics
2 Filomat
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 ELA. The Electronic Journal of Linear Algebra
2 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Asian-European Journal of Mathematics
2 Special Matrices
1 Bulletin of the Australian Mathematical Society
1 Demonstratio Mathematica
1 Kyungpook Mathematical Journal
1 Quaestiones Mathematicae
1 Acta Mathematica Hungarica
1 Bulletin of the Iranian Mathematical Society
1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing
1 International Journal of Computer Mathematics
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică
1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série
1 Congressus Numerantium
1 Notes on Number Theory and Discrete Mathematics
1 Journal of Difference Equations and Applications
1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică
1 Mathematical Communications
1 The Ramanujan Journal
1 Taiwanese Journal of Mathematics
1 Discrete Dynamics in Nature and Society
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 International Journal of Number Theory
1 Contributions to Discrete Mathematics
1 Annales Mathematicae et Informaticae
1 Applicable Analysis and Discrete Mathematics
1 Bulletin of Mathematical Analysis and Applications
1 Iranian Journal of Mathematical Sciences and Informatics
1 Arabian Journal of Mathematics
1 Palestine Journal of Mathematics

Publications by Year

Citations contained in zbMATH Open

105 Publications have been cited 596 times in 326 Documents Cited by Year
The Binet formula, sums and representations of generalized Fibonacci \(p\)-numbers. Zbl 1138.11004
Kilic, Emrah
39
2008
The generalized Binet formula, representation and sums of the generalized order-\(k\) Pell numbers. Zbl 1123.11005
Kiliç, Emrah; Taşci, Dursun
31
2006
On the order-\(k\) generalized Lucas numbers. Zbl 1115.11012
Tasci, Dursun; Kilic, Emrah
21
2004
Explicit formula for the inverse of a tridiagonal matrix by backward continued fractions. Zbl 1151.65021
Kılıç, Emrah
21
2008
On the generalized Fibonacci and Pell sequences by Hessenberg matrices. Zbl 1240.11036
Kiliç, E.; Tasci, D.
19
2010
The generalized order-\(k\) Fibonacci-Pell sequence by matrix methods. Zbl 1162.11013
Kilic, Emrah
17
2007
On the generalized order-\(k\) Fibonacci and Lucas numbers. Zbl 1141.11011
Kiliç, Emrah; Taşci, Dursun
15
2006
Sums of the squares of terms of sequence \(\{u_n\}\). Zbl 1206.11018
Kilic, Emrah
15
2008
More on the infinite sum of reciprocal Fibonacci, Pell and higher order recurrences. Zbl 1290.11025
Kılıç, Emrah; Arıkan, Talha
14
2013
A computational algorithm for special \(n\)th-order pentadiagonal Toeplitz determinants. Zbl 1143.65036
Kilic, Emrah; El-Mikkawy, Moawwad
13
2008
Tribonacci sequences with certain indices and their sums. Zbl 1224.11022
Kiliç, Emrah
12
2008
The inverse of banded matrices. Zbl 1254.65043
Kılıç, Emrah; Stanica, Pantelimon
12
2013
On the permanents of some tridiagonal matrices with applications to the Fibonacci and Lucas numbers. Zbl 1136.15004
Kiliç, Emrah; Taşci, Dursun
12
2007
Some generalized Fibonomial sums related with the Gaussian \(q\)-binomial sums. Zbl 1249.11030
Kilic, Emrah; Akkus, Ilker; Ohtsuka, Hideyuki
11
2012
A matrix approach for general higher order linear recurrences. Zbl 1246.11027
Kiliç, Emrah; Stănică, Pantelimon
10
2011
On the Fibonacci and Lucas \(p\)-numbers, their sums, families of bipartite graphs and permanents of certain matrices. Zbl 1198.11014
Kilic, E.; Stakhov, A. P.
10
2009
On a constant-diagonals matrix. Zbl 1159.65047
Kilic, Emrah
10
2008
The linear algebra of the Pell matrix. Zbl 1092.05004
Kilic, Emrah; Tasci, Dursun
10
2005
Evaluation of sums involving Gaussian \(q\)-binomial coefficients with rational weight functions. Zbl 1396.11043
Kiliç, Emrah; Prodinger, Helmut
9
2016
Factorizations and representations of the backward second-order linear recurrences. Zbl 1115.39004
Kilic, Emrah; Tasci, Dursun
9
2007
A generalized Filbert matrix. Zbl 1219.11028
Kilic, Emrah; Prodinger, Helmut
9
2010
The generalized Pell \((p, i)\)-numbers and their Binet formulas, combinatorial representations, sums. Zbl 1198.11015
Kılıç, Emrah
9
2009
Variants of the Filbert matrix. Zbl 1306.11019
Kılıç, Emrah; Prodinger, Helmut
9
2013
Closed form evaluation of sums containing squares of Fibonomial coefficients. Zbl 1389.11044
Kiliç, Emrah; Prodinger, Helmut
8
2016
On families of bipartite graphs associated with sums of Fibonacci and Lucas numbers. Zbl 1224.11029
Kiliç, Emrah; Tasci, Dursun
8
2008
The \(q\)-Pilbert matrix. Zbl 1290.11026
Kılıç, Emrah; Prodinger, Helmut
8
2012
Formulas for fibonomial sums with generalized Fibonacci and Lucas coefficients. Zbl 1257.11015
Kiliç, Emrah; Prodinger, Helmut; Akkus, Ilker; Ohtsuka, Hideyuki
8
2011
An analytical approach: explicit inverses of periodic tridiagonal matrices. Zbl 1441.15002
Hopkins, Tim; Kılıç, Emrah
8
2018
On the generalized Lucas sequences by Hessenberg matrices. Zbl 1249.11023
Kiliç, E.; Tasci, D.; Haukkanen, P.
8
2010
On the usual Fibonacci and generalized order-\(k\) Pell numbers. Zbl 1224.11024
Kiliç, Emrah
7
2008
The generalized Fibonomial matrix. Zbl 1184.15021
Kiliç, Emrah
7
2010
Sylvester-tridiagonal matrix with alternating main diagonal entries and its spectra. Zbl 1401.15033
Kılıç, Emrah
7
2013
Evaluation of Hessenberg determinants via generating function approach. Zbl 1499.15024
Kılıç, Emrah; Arıkan, Talha
7
2017
Evaluation of spectrum of 2-periodic tridiagonal-Sylvester matrix. Zbl 1424.15017
Kiliç, Emrah; Arikan, Talha
7
2016
A matrix approach to some second-order difference equations with sign-alternating coefficients. Zbl 1472.39004
Anđelić, Milica; Du, Zhibin; da Fonseca, Carlos M.; Kılıç, Emrah
7
2020
Formulae related to the \(q\)-Dixon formula with applications to Fibonomial sums. Zbl 1349.11028
Kiliç, E.; Prodinger, H.
6
2015
A new type of Sylvester-Kac matrix and its spectrum. Zbl 1462.15038
da Fonseca, Carlos M.; Kılıç, Emrah
6
2021
Asymmetric generalizations of the Filbert matrix and variants. Zbl 1367.11024
Kılıç, Emrah; Prodinger, Helmut
6
2014
An observation on the determinant of a Sylvester-Kac type matrix. Zbl 1488.15011
da Fonseca, Carlos M.; Kılıç, Emrah
6
2020
Binomial sums whose coefficients are products of terms of binary sequences. Zbl 1244.11021
Kiliç, Emrah; Ömür, Neşe; Ulutaş, Y. Türker
5
2011
Negatively subscripted Fibonacci and Lucas numbers and their complex factorizations. Zbl 1249.11022
Kiliç, E.; Tasci, D.
5
2010
On the second order linear recurrences by tridiagonal matrices. Zbl 1224.11027
Kiliç, Emrah; Tasci, D.
5
2009
A class of non-symmetric band determinants with the Gaussian \(q\)-binomial coefficients. Zbl 1422.15013
Arikan, Talha; Kiliç, Emrah
5
2017
Binomial sums involving Catalan numbers. Zbl 1473.05017
Chu, Wenchang; Kiliç, Emrah
5
2021
A variant of the reciprocal super Catalan matrix. Zbl 1330.15034
Kılıç, Emrah; Akkus, Ilker; Kızılaslan, Gonca
4
2015
Ruehr’s identities with two additional parameters. Zbl 1351.05031
Kılıç, Emrah; Arıkan, Talha
4
2016
The generalized \(q\)-Pilbert matrix. Zbl 1349.05020
Kiliç, Emrah; Prodinger, Helmut
4
2014
The generalized Lilbert matrix. Zbl 1389.11045
Kılıç, Emrah; Prodinger, Helmut
4
2016
Identities with squares of binomial coefficients: an elementary and explicit approach. Zbl 1432.11018
Kılıç, Emrah; Prodinger, Helmut
4
2016
On families of bipartite graphs associated with sums of generalized order-\(k\) Fibonacci and Lucas numbers. Zbl 1240.11035
Kiliç, Emrah; Tasci, Dursun
4
2010
Factorizations and representations of binary polynomial recurrences by matrix methods. Zbl 1221.11033
Kiliç, Emrah; Stănică, Pantelimon
4
2011
Factorizations and representations of second order linear recurrences with indices in arithmetic progressions. Zbl 1246.11034
Kiliç, E.; Stănică, P.
4
2009
Two variants of the reciprocal super Catalan matrix. Zbl 1356.15012
Kiliç, Emrah; Ömür, Neşe; Koparal, Sibel; Ulutaş, Yücel Türker
3
2016
On the computing of the generalized order-\(k\) Pell numbers in log time. Zbl 1206.11150
Kilic, E.; Altunkaynak, B.; Tasci, D.
3
2006
Formulas for weighted binomial sums using the powers of terms of binary recurrences. Zbl 1265.11036
Kiliç, Emrah; Ulutaş, Yücel Türker; Ömür, Neşe
3
2012
On sums of second order linear recurrences by Hessenberg matrices. Zbl 1206.11017
Kiliç, E.; Taşci, D.
3
2008
Some double binomial sums related with the Fibonacci, Pell and generalized order-\(k\) Fibonacci numbers. Zbl 1269.05003
Kılıç, Emrah; Prodinger, Helmut
3
2013
More general identities involving the terms of \(\{W_n(a,b;p,q)\}\). Zbl 1224.11026
Kiliç, Emrah; Tan, Elif
3
2009
On the second order linear recurrences by generalized doubly stochastic matrices. Zbl 1224.11028
Kiliç, Emrah; Tasci, D.
3
2009
The generalized reciprocal super Catalan matrix. Zbl 1424.15059
Kiliç, Emrah; Arikan, Talha
3
2016
Studying new generalizations of max-min matrices with a novel approach. Zbl 1429.15010
Kiliç, Emrah; Arikan, Talha
3
2019
Quadratic sums of Gaussian \(q\)-binomial coefficients and Fibonomial coefficients. Zbl 1477.11037
Chu, Wenchang; Kılıç, Emrah
3
2020
A proof of a conjecture of Marques and Trojovsky. Zbl 1324.11020
Kiliç, Emrah
2
2014
Some classes of alternating weighted binomial sums. Zbl 1389.05002
Kiliç, Emrah
2
2016
A generalization of a conjecture of Melham. Zbl 1358.11030
Kilic, Emrah; Akkus, Ilker; Prodinger, Helmut
2
2014
Certain binomial sums with recursive coefficients. Zbl 1211.11016
Kilic, Emrah; Ionascu, Eugen J.
2
2010
A proof of a conjecture of Melham. Zbl 1222.11022
Kilic, Emrah; Akkus, Ilker; Prodinger, Helmut
2
2010
Factorizations of the Pascal matrix via a generalized second order recurrent matrix. Zbl 1219.11021
Kılıç, E.; Ömür, N.; Tatar, G.; Ulutaş, Y. T.
2
2009
Sums of generalized Fibonacci numbers by matrix methods. Zbl 1212.11024
Kiliç, Emrah
2
2007
Sums of products of the terms of the generalized Lucas sequence \(\{V_{kn}\}\). Zbl 1271.11017
Kılıç, Emrah; Ulutaş, Yücel Türker; Ömür, Neşe
2
2011
Conics characterizing the generalized Fibonacci and Lucas sequences with indices in arithmetic progressions. Zbl 1240.11037
Kiliç, Emrah; Ömür, Neşe
2
2010
Some Gaussian binomial sum formulæ with applications. Zbl 1416.11035
Kılıç, Emrah; Prodinger, Helmut
2
2016
Alternating sums of the powers of Fibonacci and Lucas numbers. Zbl 1240.11034
Kiliç, Emrah; Ömür, Neşe; Ulutas, Yücel Türker
2
2011
Evaluation of sums involving products of Gaussian \(q \)-binomial coefficients with applications to Fibonomial sums. Zbl 1424.11043
Kiliç, Emrah; Prodinger, Helmut
2
2017
The interesting spectral interlacing property for a certain tridiagonal matrix. Zbl 1450.15009
da Fonseca, Carlos M.; Kılıç, Emrah; Pereira, António
2
2020
A wide class of combinatorial matrices related with reciprocal Pascal and super Catalan matrices. Zbl 1452.15020
Kilic, Emrah; Prodinger, Helmut
2
2019
Cubic sums of \(q\)-binomial coefficients and the Fibonomial coefficients. Zbl 1453.11026
Chu, Wenchang; Kılıç, Emrah
2
2019
Sums of products of generalized Fibonacci and Lucas numbers. Zbl 1363.11024
Kilic, E.; Prodinger, H.
1
2015
Closed form evaluation of Melham’s reciprocal sums. Zbl 1399.11051
Kılıç, E.; Prodinger, H.
1
2017
General approach in computing sums of products of binary sequences. Zbl 1343.11021
Kılıç, E.; Stănică, P.
1
2013
Second order linear recursions whose subscripts are a power. Zbl 1224.11025
Kiliç, Emrah; Tan, Elif
1
2010
On binomial sums for the general second order linear recurrence. Zbl 1216.11012
Kiliç, Emrah; Tan, Elif
1
2010
Formulas for sums of generalized order-\(k\) Fibonacci type sequences by matrix methods. Zbl 1224.11023
Kiliç, Emrah
1
2008
Spectral properties of some combinatorial matrices. Zbl 1204.11037
Kilic, Emrah; Stănică, Gabriela N.; Stănică, Pantelimon
1
2010
Generalized order-\(k\) Fibonacci and Lucas functions. Zbl 1239.11018
Kılıç, Emrah; Tascı, Dursun
1
2008
New sums identities in weighted Catalan triangle with the powers of generalized Fibonacci and Lucas numbers. Zbl 1340.11017
Kiliç, Emrah; Yalçiner, Aynur
1
2014
A matrix approach for generalizing two curious divisibility properties. Zbl 1274.11031
Kiliç, Emrah
1
2012
Binomial identities involving the generalized Fibonacci type polynomials. Zbl 1249.11024
Kilic, Emrah; Irmak, Nurettin
1
2011
The Lehmer matrix and its recursive analogue. Zbl 1235.65026
Kilic, Emrah; Stănică, Pantelimon
1
2010
Perturbed Toeplitz matrices and their LU-decompositions. Zbl 1511.15025
Chu, Wenchang; Kılıç, Emrah
1
2023
On binomial double sums with Fibonacci and Lucas numbers. II. Zbl 1449.11031
Kılıç, Emrah; Taşdemir, Funda
1
2019
A Wilf class composed of 19 symmetry classes of quadruples of 4-letter patterns. Zbl 1387.05001
Arıkan, Talha; Kılıç, Emrah; Mansour, Toufik
1
2017
Evaluation of sums involving products of Gaussian \(q\)-binomial coefficients with applications. Zbl 1505.11028
Kiliç, Emrah; Prodinger, Helmut
1
2019
A nonlinear generalization of the Filbert matrix and its Lucas analogue. Zbl 1427.15036
Kılıç, Emrah; Arıkan, Talha
1
2019
On binomial double sums with Fibonacci and Lucas numbers. I. Zbl 1463.11039
Kılıç, Emrah; Taşdemir, Funda
1
2019
On Fibonomial sums identities with special sign functions: analytically \(q\)-calculus approach. Zbl 1447.11033
Kiliç, Emrah; Akkus, Ilker
1
2018
On alternating weighted binomial sums with falling factorials. Zbl 1409.05014
Kiliç, Emrah; Ömür, Nese; Koparal, Sibel
1
2017
Evaluation of sums of products of Gaussian \(q\)-binomial coefficients with rational weight functions. Zbl 1480.11026
Arikan, Talha; Kiliç, Emrah; Prodinger, Helmut
1
2020
Closed form evaluation of restricted sums containing squares of Fibonomial coefficients. Zbl 1513.11044
Kılıc, Emrah; Prodinger, Helmut
1
2016
The matrix of super Patalan numbers and its factorizations. Zbl 1488.15065
Kılıç, Emrah; Prodinger, Helmut
1
2017
Perturbed Toeplitz matrices and their LU-decompositions. Zbl 1511.15025
Chu, Wenchang; Kılıç, Emrah
1
2023
A Sylvester-Kac matrix type and the Laplacian controllability of half graphs. Zbl 1500.15022
Andelic, Milica; Da Fonseca, Carlos M.; Kilic, Emrah; Stanic, Zoran
1
2022
A new type of Sylvester-Kac matrix and its spectrum. Zbl 1462.15038
da Fonseca, Carlos M.; Kılıç, Emrah
6
2021
Binomial sums involving Catalan numbers. Zbl 1473.05017
Chu, Wenchang; Kiliç, Emrah
5
2021
A matrix approach to some second-order difference equations with sign-alternating coefficients. Zbl 1472.39004
Anđelić, Milica; Du, Zhibin; da Fonseca, Carlos M.; Kılıç, Emrah
7
2020
An observation on the determinant of a Sylvester-Kac type matrix. Zbl 1488.15011
da Fonseca, Carlos M.; Kılıç, Emrah
6
2020
Quadratic sums of Gaussian \(q\)-binomial coefficients and Fibonomial coefficients. Zbl 1477.11037
Chu, Wenchang; Kılıç, Emrah
3
2020
The interesting spectral interlacing property for a certain tridiagonal matrix. Zbl 1450.15009
da Fonseca, Carlos M.; Kılıç, Emrah; Pereira, António
2
2020
Evaluation of sums of products of Gaussian \(q\)-binomial coefficients with rational weight functions. Zbl 1480.11026
Arikan, Talha; Kiliç, Emrah; Prodinger, Helmut
1
2020
New Filbert and Lilbert matrices with asymmetric entries. Zbl 1478.15018
Bozdağ, Hacer; Kılıç, Emrah; Akkus, Ilker
1
2020
Studying new generalizations of max-min matrices with a novel approach. Zbl 1429.15010
Kiliç, Emrah; Arikan, Talha
3
2019
A wide class of combinatorial matrices related with reciprocal Pascal and super Catalan matrices. Zbl 1452.15020
Kilic, Emrah; Prodinger, Helmut
2
2019
Cubic sums of \(q\)-binomial coefficients and the Fibonomial coefficients. Zbl 1453.11026
Chu, Wenchang; Kılıç, Emrah
2
2019
On binomial double sums with Fibonacci and Lucas numbers. II. Zbl 1449.11031
Kılıç, Emrah; Taşdemir, Funda
1
2019
Evaluation of sums involving products of Gaussian \(q\)-binomial coefficients with applications. Zbl 1505.11028
Kiliç, Emrah; Prodinger, Helmut
1
2019
A nonlinear generalization of the Filbert matrix and its Lucas analogue. Zbl 1427.15036
Kılıç, Emrah; Arıkan, Talha
1
2019
On binomial double sums with Fibonacci and Lucas numbers. I. Zbl 1463.11039
Kılıç, Emrah; Taşdemir, Funda
1
2019
A nonsymmetrical matrix and its factorizations. Zbl 1498.11048
Arıkan, Talha; Kılıç, Emrah; Prodinger, Helmut
1
2019
New reciprocal sums involving finite products of second order recursions. Zbl 1449.11023
Kılıç, Emrah; Ersanlı, Didem
1
2019
An analytical approach: explicit inverses of periodic tridiagonal matrices. Zbl 1441.15002
Hopkins, Tim; Kılıç, Emrah
8
2018
On Fibonomial sums identities with special sign functions: analytically \(q\)-calculus approach. Zbl 1447.11033
Kiliç, Emrah; Akkus, Ilker
1
2018
Three binomial sums weighted by falling and rising factorials. Zbl 1424.05009
Kiliç, Emrah
1
2018
Evaluation of Hessenberg determinants via generating function approach. Zbl 1499.15024
Kılıç, Emrah; Arıkan, Talha
7
2017
A class of non-symmetric band determinants with the Gaussian \(q\)-binomial coefficients. Zbl 1422.15013
Arikan, Talha; Kiliç, Emrah
5
2017
Evaluation of sums involving products of Gaussian \(q \)-binomial coefficients with applications to Fibonomial sums. Zbl 1424.11043
Kiliç, Emrah; Prodinger, Helmut
2
2017
Closed form evaluation of Melham’s reciprocal sums. Zbl 1399.11051
Kılıç, E.; Prodinger, H.
1
2017
A Wilf class composed of 19 symmetry classes of quadruples of 4-letter patterns. Zbl 1387.05001
Arıkan, Talha; Kılıç, Emrah; Mansour, Toufik
1
2017
On alternating weighted binomial sums with falling factorials. Zbl 1409.05014
Kiliç, Emrah; Ömür, Nese; Koparal, Sibel
1
2017
The matrix of super Patalan numbers and its factorizations. Zbl 1488.15065
Kılıç, Emrah; Prodinger, Helmut
1
2017
Evaluation of sums involving Gaussian \(q\)-binomial coefficients with rational weight functions. Zbl 1396.11043
Kiliç, Emrah; Prodinger, Helmut
9
2016
Closed form evaluation of sums containing squares of Fibonomial coefficients. Zbl 1389.11044
Kiliç, Emrah; Prodinger, Helmut
8
2016
Evaluation of spectrum of 2-periodic tridiagonal-Sylvester matrix. Zbl 1424.15017
Kiliç, Emrah; Arikan, Talha
7
2016
Ruehr’s identities with two additional parameters. Zbl 1351.05031
Kılıç, Emrah; Arıkan, Talha
4
2016
The generalized Lilbert matrix. Zbl 1389.11045
Kılıç, Emrah; Prodinger, Helmut
4
2016
Identities with squares of binomial coefficients: an elementary and explicit approach. Zbl 1432.11018
Kılıç, Emrah; Prodinger, Helmut
4
2016
Two variants of the reciprocal super Catalan matrix. Zbl 1356.15012
Kiliç, Emrah; Ömür, Neşe; Koparal, Sibel; Ulutaş, Yücel Türker
3
2016
The generalized reciprocal super Catalan matrix. Zbl 1424.15059
Kiliç, Emrah; Arikan, Talha
3
2016
Some classes of alternating weighted binomial sums. Zbl 1389.05002
Kiliç, Emrah
2
2016
Some Gaussian binomial sum formulæ with applications. Zbl 1416.11035
Kılıç, Emrah; Prodinger, Helmut
2
2016
Closed form evaluation of restricted sums containing squares of Fibonomial coefficients. Zbl 1513.11044
Kılıc, Emrah; Prodinger, Helmut
1
2016
Formulae related to the \(q\)-Dixon formula with applications to Fibonomial sums. Zbl 1349.11028
Kiliç, E.; Prodinger, H.
6
2015
A variant of the reciprocal super Catalan matrix. Zbl 1330.15034
Kılıç, Emrah; Akkus, Ilker; Kızılaslan, Gonca
4
2015
Sums of products of generalized Fibonacci and Lucas numbers. Zbl 1363.11024
Kilic, E.; Prodinger, H.
1
2015
Asymmetric generalizations of the Filbert matrix and variants. Zbl 1367.11024
Kılıç, Emrah; Prodinger, Helmut
6
2014
The generalized \(q\)-Pilbert matrix. Zbl 1349.05020
Kiliç, Emrah; Prodinger, Helmut
4
2014
A proof of a conjecture of Marques and Trojovsky. Zbl 1324.11020
Kiliç, Emrah
2
2014
A generalization of a conjecture of Melham. Zbl 1358.11030
Kilic, Emrah; Akkus, Ilker; Prodinger, Helmut
2
2014
New sums identities in weighted Catalan triangle with the powers of generalized Fibonacci and Lucas numbers. Zbl 1340.11017
Kiliç, Emrah; Yalçiner, Aynur
1
2014
More on the infinite sum of reciprocal Fibonacci, Pell and higher order recurrences. Zbl 1290.11025
Kılıç, Emrah; Arıkan, Talha
14
2013
The inverse of banded matrices. Zbl 1254.65043
Kılıç, Emrah; Stanica, Pantelimon
12
2013
Variants of the Filbert matrix. Zbl 1306.11019
Kılıç, Emrah; Prodinger, Helmut
9
2013
Sylvester-tridiagonal matrix with alternating main diagonal entries and its spectra. Zbl 1401.15033
Kılıç, Emrah
7
2013
Some double binomial sums related with the Fibonacci, Pell and generalized order-\(k\) Fibonacci numbers. Zbl 1269.05003
Kılıç, Emrah; Prodinger, Helmut
3
2013
General approach in computing sums of products of binary sequences. Zbl 1343.11021
Kılıç, E.; Stănică, P.
1
2013
Some generalized Fibonomial sums related with the Gaussian \(q\)-binomial sums. Zbl 1249.11030
Kilic, Emrah; Akkus, Ilker; Ohtsuka, Hideyuki
11
2012
The \(q\)-Pilbert matrix. Zbl 1290.11026
Kılıç, Emrah; Prodinger, Helmut
8
2012
Formulas for weighted binomial sums using the powers of terms of binary recurrences. Zbl 1265.11036
Kiliç, Emrah; Ulutaş, Yücel Türker; Ömür, Neşe
3
2012
A matrix approach for generalizing two curious divisibility properties. Zbl 1274.11031
Kiliç, Emrah
1
2012
A matrix approach for general higher order linear recurrences. Zbl 1246.11027
Kiliç, Emrah; Stănică, Pantelimon
10
2011
Formulas for fibonomial sums with generalized Fibonacci and Lucas coefficients. Zbl 1257.11015
Kiliç, Emrah; Prodinger, Helmut; Akkus, Ilker; Ohtsuka, Hideyuki
8
2011
Binomial sums whose coefficients are products of terms of binary sequences. Zbl 1244.11021
Kiliç, Emrah; Ömür, Neşe; Ulutaş, Y. Türker
5
2011
Factorizations and representations of binary polynomial recurrences by matrix methods. Zbl 1221.11033
Kiliç, Emrah; Stănică, Pantelimon
4
2011
Sums of products of the terms of the generalized Lucas sequence \(\{V_{kn}\}\). Zbl 1271.11017
Kılıç, Emrah; Ulutaş, Yücel Türker; Ömür, Neşe
2
2011
Alternating sums of the powers of Fibonacci and Lucas numbers. Zbl 1240.11034
Kiliç, Emrah; Ömür, Neşe; Ulutas, Yücel Türker
2
2011
Binomial identities involving the generalized Fibonacci type polynomials. Zbl 1249.11024
Kilic, Emrah; Irmak, Nurettin
1
2011
On the generalized Fibonacci and Pell sequences by Hessenberg matrices. Zbl 1240.11036
Kiliç, E.; Tasci, D.
19
2010
A generalized Filbert matrix. Zbl 1219.11028
Kilic, Emrah; Prodinger, Helmut
9
2010
On the generalized Lucas sequences by Hessenberg matrices. Zbl 1249.11023
Kiliç, E.; Tasci, D.; Haukkanen, P.
8
2010
The generalized Fibonomial matrix. Zbl 1184.15021
Kiliç, Emrah
7
2010
Negatively subscripted Fibonacci and Lucas numbers and their complex factorizations. Zbl 1249.11022
Kiliç, E.; Tasci, D.
5
2010
On families of bipartite graphs associated with sums of generalized order-\(k\) Fibonacci and Lucas numbers. Zbl 1240.11035
Kiliç, Emrah; Tasci, Dursun
4
2010
Certain binomial sums with recursive coefficients. Zbl 1211.11016
Kilic, Emrah; Ionascu, Eugen J.
2
2010
A proof of a conjecture of Melham. Zbl 1222.11022
Kilic, Emrah; Akkus, Ilker; Prodinger, Helmut
2
2010
Conics characterizing the generalized Fibonacci and Lucas sequences with indices in arithmetic progressions. Zbl 1240.11037
Kiliç, Emrah; Ömür, Neşe
2
2010
Second order linear recursions whose subscripts are a power. Zbl 1224.11025
Kiliç, Emrah; Tan, Elif
1
2010
On binomial sums for the general second order linear recurrence. Zbl 1216.11012
Kiliç, Emrah; Tan, Elif
1
2010
Spectral properties of some combinatorial matrices. Zbl 1204.11037
Kilic, Emrah; Stănică, Gabriela N.; Stănică, Pantelimon
1
2010
The Lehmer matrix and its recursive analogue. Zbl 1235.65026
Kilic, Emrah; Stănică, Pantelimon
1
2010
On the Fibonacci and Lucas \(p\)-numbers, their sums, families of bipartite graphs and permanents of certain matrices. Zbl 1198.11014
Kilic, E.; Stakhov, A. P.
10
2009
The generalized Pell \((p, i)\)-numbers and their Binet formulas, combinatorial representations, sums. Zbl 1198.11015
Kılıç, Emrah
9
2009
On the second order linear recurrences by tridiagonal matrices. Zbl 1224.11027
Kiliç, Emrah; Tasci, D.
5
2009
Factorizations and representations of second order linear recurrences with indices in arithmetic progressions. Zbl 1246.11034
Kiliç, E.; Stănică, P.
4
2009
More general identities involving the terms of \(\{W_n(a,b;p,q)\}\). Zbl 1224.11026
Kiliç, Emrah; Tan, Elif
3
2009
On the second order linear recurrences by generalized doubly stochastic matrices. Zbl 1224.11028
Kiliç, Emrah; Tasci, D.
3
2009
Factorizations of the Pascal matrix via a generalized second order recurrent matrix. Zbl 1219.11021
Kılıç, E.; Ömür, N.; Tatar, G.; Ulutaş, Y. T.
2
2009
The Binet formula, sums and representations of generalized Fibonacci \(p\)-numbers. Zbl 1138.11004
Kilic, Emrah
39
2008
Explicit formula for the inverse of a tridiagonal matrix by backward continued fractions. Zbl 1151.65021
Kılıç, Emrah
21
2008
Sums of the squares of terms of sequence \(\{u_n\}\). Zbl 1206.11018
Kilic, Emrah
15
2008
A computational algorithm for special \(n\)th-order pentadiagonal Toeplitz determinants. Zbl 1143.65036
Kilic, Emrah; El-Mikkawy, Moawwad
13
2008
Tribonacci sequences with certain indices and their sums. Zbl 1224.11022
Kiliç, Emrah
12
2008
On a constant-diagonals matrix. Zbl 1159.65047
Kilic, Emrah
10
2008
On families of bipartite graphs associated with sums of Fibonacci and Lucas numbers. Zbl 1224.11029
Kiliç, Emrah; Tasci, Dursun
8
2008
On the usual Fibonacci and generalized order-\(k\) Pell numbers. Zbl 1224.11024
Kiliç, Emrah
7
2008
On sums of second order linear recurrences by Hessenberg matrices. Zbl 1206.11017
Kiliç, E.; Taşci, D.
3
2008
Formulas for sums of generalized order-\(k\) Fibonacci type sequences by matrix methods. Zbl 1224.11023
Kiliç, Emrah
1
2008
Generalized order-\(k\) Fibonacci and Lucas functions. Zbl 1239.11018
Kılıç, Emrah; Tascı, Dursun
1
2008
The generalized order-\(k\) Fibonacci-Pell sequence by matrix methods. Zbl 1162.11013
Kilic, Emrah
17
2007
On the permanents of some tridiagonal matrices with applications to the Fibonacci and Lucas numbers. Zbl 1136.15004
Kiliç, Emrah; Taşci, Dursun
12
2007
Factorizations and representations of the backward second-order linear recurrences. Zbl 1115.39004
Kilic, Emrah; Tasci, Dursun
9
2007
Sums of generalized Fibonacci numbers by matrix methods. Zbl 1212.11024
Kiliç, Emrah
2
2007
...and 5 more Documents
all top 5

Cited by 330 Authors

56 Kilic, Emrah
17 Prodinger, Helmut
13 da Fonseca, Carlos Martins
11 Bravo, Jhon Jairo
11 Deveci, Ömür
11 Omur, Nese
10 Chu, Wenchang
10 Soykan, Yüksel
9 Jiang, Zhaolin
7 Arıkan, Talha
7 Belbachir, Hacene
7 Herrera, José L.
7 Koparal, Sibel
6 Du, Zhibin
6 El-Mikkawy, Moawwad E. A.
6 Jiang, Xiaoyu
6 Ramírez, José Luis
6 Tasci, Dursun
5 Akkus, Ilker
5 Campbell, John Maxwell
5 Choi, Eunmi
5 Keskin, Refik
5 Luca, Florian
5 Şiar, Zafer
5 Trojovský, Pavel
5 Włoch, Andrzej
4 Bozkurt, Durmuş
4 Goy, Taras P.
4 Öteleş, Ahmet
4 Özkan, Engin
4 Rihane, Salah Eddine
4 Şahin, Adem
4 Sogabe, Tomohiro
4 Włoch, Iwona
4 Wu, Zhengang
4 Yilmaz, Fatih
3 Akbulak, Mehmet
3 Andelić, Milica
3 Boussayoud, Ali
3 Catarino, Paula Maria Machado Cruz
3 Falcon, Sergio
3 Fu, Yaru
3 Jhang, Seongtae
3 Jia, Jiteng
3 Köme, Cahit
3 Marques, Diego
3 Mehraban, Elahe
3 Plaza, Ángel
3 Shannon, Anthony Greville
3 Shon, Sugoog
3 Taşkara, Necati
3 Togbé, Alain
3 Wei, Yunlan
3 Yalçiner, Aynur
2 Adegoke, Kunle
2 Ahmia, Moussa
2 Aküzüm, Yeşim
2 Al-Hassan, Qassem M.
2 Amrouche, Said
2 Bahşi, Mustafa
2 Bai, Mei
2 Bednarz, Urszula
2 Bród, Dorota
2 Cinkir, Zubeyir
2 Çolak, Cemile Duygu
2 da Graça Neto, Almir Cunha
2 da Silva, Robson
2 de Oliveira, Kelvin Souza
2 Djellas, Ihab-Eddine
2 Du, Tingting
2 Ejaz, Syeda Tehmina
2 Elouafi, Mohamed
2 Frontczak, Robert
2 Gómez, Carlos Alexis
2 Hadj, Ahmed Driss Aiat
2 Halıcı, Serpil
2 Jo, Jiin
2 Jun, Sang Pyo
2 Karaduman, Erdal
2 Kaygisiz, Kenan
2 Kızılateş, Can
2 Komatsu, Takao
2 Küçük, Ahmet Zahid
2 Kuhapatanakul, Kantaphon
2 Laohakosol, Vichian
2 Li, Sumei
2 Lin, Xin
2 Mansour, Toufik
2 Mustafa, Ghulam
2 Pereira, António
2 Piejko, Krzysztof
2 Shattuck, Mark A.
2 Stanić, Zoran
2 Ulutas, Yucel Turker
2 Vincenzi, Giovanni
2 Wang, Tingting
2 Wołowiec-Musiał, Małgorzata
2 Yaying, Taja
2 Yazlik, Yasin
2 Zhang, Han
...and 230 more Authors
all top 5

Cited in 128 Serials

27 Applied Mathematics and Computation
15 Turkish Journal of Mathematics
11 Special Matrices
10 Advances in Difference Equations
9 International Journal of Advances in Applied Mathematics and Mechanics
8 Chaos, Solitons and Fractals
8 Journal of Inequalities and Applications
7 Filomat
7 Journal of Integer Sequences
6 Rocky Mountain Journal of Mathematics
6 Integers
6 Journal of Applied Mathematics
6 Hacettepe Journal of Mathematics and Statistics
5 Communications in Algebra
5 Discrete Applied Mathematics
5 Linear and Multilinear Algebra
5 Journal of Computational and Applied Mathematics
5 Mathematica Slovaca
5 Journal of Discrete Mathematical Sciences & Cryptography
5 Korean Journal of Mathematics
4 Journal of Number Theory
4 Mediterranean Journal of Mathematics
4 Asian-European Journal of Mathematics
3 Linear Algebra and its Applications
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Computational and Applied Mathematics
3 Journal of Difference Equations and Applications
3 The Ramanujan Journal
3 Discrete Dynamics in Nature and Society
3 Contributions to Discrete Mathematics
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Open Mathematics
2 Bulletin of the Australian Mathematical Society
2 Computers & Mathematics with Applications
2 Indian Journal of Pure & Applied Mathematics
2 Lithuanian Mathematical Journal
2 Mathematical Notes
2 Periodica Mathematica Hungarica
2 Ukrainian Mathematical Journal
2 Czechoslovak Mathematical Journal
2 The Fibonacci Quarterly
2 International Journal of Mathematics and Mathematical Sciences
2 European Journal of Combinatorics
2 Facta Universitatis. Series Mathematics and Informatics
2 Applied Mathematics Letters
2 Mathematica Bohemica
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 ELA. The Electronic Journal of Linear Algebra
2 Mathematical Problems in Engineering
2 Abstract and Applied Analysis
2 Honam Mathematical Journal
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Journal of Applied Mathematics and Computing
2 Applications and Applied Mathematics
2 Online Journal of Analytic Combinatorics
2 Discrete Mathematics, Algorithms and Applications
2 Acta Universitatis Sapientiae. Mathematica
2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Journal of Applied Analysis and Computation
2 Palestine Journal of Mathematics
1 American Mathematical Monthly
1 Discrete Mathematics
1 Physica A
1 Mathematics Magazine
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Archivum Mathematicum
1 BIT
1 Demonstratio Mathematica
1 Journal of Combinatorial Theory. Series A
1 Journal of Econometrics
1 Mathematics and Computers in Simulation
1 Monatshefte für Mathematik
1 Quaestiones Mathematicae
1 Advances in Applied Mathematics
1 Bulletin of the Korean Mathematical Society
1 Statistics & Probability Letters
1 Acta Mathematica Hungarica
1 Journal of Symbolic Computation
1 Annals of Operations Research
1 International Journal of Adaptive Control and Signal Processing
1 Numerical Algorithms
1 Applied Mathematical Modelling
1 Mathematical Programming. Series A. Series B
1 Tatra Mountains Mathematical Publications
1 The Journal of Analysis
1 Advances in Applied Clifford Algebras
1 ETNA. Electronic Transactions on Numerical Analysis
1 The Electronic Journal of Combinatorics
1 Integral Transforms and Special Functions
1 Izvestiya: Mathematics
1 Journal of Nonparametric Statistics
1 Journal of Mathematical Chemistry
1 Matematychni Studiï
1 Mathematica Moravica
1 Communications of the Korean Mathematical Society
1 Journal of Biological Systems
1 Lobachevskii Journal of Mathematics
1 Annales Mathematicae Silesianae
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Applied Mathematics E-Notes
...and 28 more Serials

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