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Issue Date | Title | Author(s) |
2011 | Alternating Sums of the Powers of Fibonacci and Lucas Numbers | Kılıç, Emrah ; Ömür, Neşe; Ulutaş, Yücel Türker |
2018 | An Analytical Approach: Explicit Inverses of Periodic Tridiagonal Matrices | Hopkins, Tim; Kılıç, Emrah |
2022 | Analytically Explicit Inverse of a Kind of Periodic Tridiagonal Matrix Using a Backward Continued Fraction Approach | Hopkins, T.; Kiliç, E. |
2014 | Asymmetric Generalizations of the Filbert Matrix and Variants | Kılıç, Emrah ; Prodinger, Helmut |
2008 | The Binet Formula, Sums and Representations of Generalized Fibonacci P-Numbers | Kılıç, Emrah |
2011 | Binomial Identities Involving the Generalized Fibonacci Type Polynomials | Kılıç, Emrah ; Irmak, Nurettin |
2021 | Binomial Sums Involving Catalan Numbers | Chu, Wenchang; Kılıç, Emrah |
2024 | Binomial Sums Involving Second-Order Linearly Recurrent Sequences | Campbell, J.M.; Kiliç, E. |
2024 | Binomial Sums Involving Second-Order Linearly Recurrent Sequences | Campbell, John m.; Kılıç, Emrah |
2011 | Binomial Sums Whose Coeffıcients Are Products Of Terms Of Binary Sequences | Kılıç, Emrah ; Ömür, Neşe; Ulutaş, Yücel Türker |
2013 | Bir kombinatoryal matris ve lineer cebirsel karakterizasyonları | Özdemir, Gülşah |
2010 | Certain Binomial Sums With Recursive Coefficients | Kılıç, E. ; Ionascu, E. J. |
2017 | A Class of Non-Symmetric Band Determinants With the Gaussian Q-Binomialcoefficients | Arıkan, Talha; Kılıç, Emrah |
2021 | A Class of Symmetric and Non-Symmetric Band Matrices Via Binomial Coefficients | Micheal, O.; Kılıç, E. |
2017 | Closed Form Evaluation of Melham's Reciprocal Sums | Kılıç, Emrah ; Prodinger, Helmut |
2016 | Closed Form Evaluation of Restricted Sums Containing Squares of Fibonomial Coefficients | Kılıç, Emrah ; Prodinger, Helmut |
Jun-2016 | Closed Form Evaluation of Sums Containing Squares of Fibonomial Coefficients | Kılıç, Emrah ; Prodinger, Helmut |
2008 | A Computational Algorithm for Special Nth-Order Pentadiagonal Toeplitz Determinants | Kılıç, Emrah ; El-Mikkawy, Moawwad |
2010 | Conics Characterizing the Generalized Fibonacci and Lucas Sequences With Indices in Arithmetic Progressions | Kılıç, Emrah ; Ömür, Neşe |
2019 | Cubic Sums of Q-Binomial Coefficients and the Fibonomial Coefficients | Chu, Wenchang; Kılıç, Emrah |
2024 | Curious Harmony in Asymmetric & Nonlinear Variant of Filbert and Lilbert Matrices | Kılıç, Emrah ; Ersanlı, Didem |
Sep-2015 | A Curious Matrix-Sum Identity and Certain Finite Sums Identities | Kılıç, Emrah ; Akkuş, İlker; Ömür, Neşe; Yücel, T. |
2016 | Decompositions of the Cauchy and Ferrers-Jackson Polynomials | Irmak, Nurettin; Kılıç, Emrah |
2023 | Determinant Evaluation of Banded Toeplitz Matrices Via Bivariate Polynomial Families | Alazemi, Abdullah; Kılıç, Emrah |
2022 | Diophantine Equations Related With Linear Binary Recurrences | Kılıç, Emrah ; Akkus, Ilker; Omur, Nese |
1-May-2018 | Double Binomial Sums and Double Sums Related With Certain Linear Recurrences of Various Order | Kılıç, Emrah ; Arıkan, Talha |
2017 | Evaluation of Hessenberg Determinants Via Generating Function Approach | Kılıç, Emrah ; Arıkan, Talha |
2016 | Evaluation of Spectrum of 2-Periodic Tridiagonal-Sylvester Matrix | Kılıç, Emrah ; Arıkan, Talha |
Apr-2017 | Evaluation of Sums Containing Triple Aerated Generalized Fibonomial Coefficients | Kılıç, Emrah |
Mar-2016 | Evaluation of Sums Involving Gaussian Q-Binomial Coefficients With Rational Weight Functions | Kılıç, Emrah ; Prodinger, Helmut |
Apr-2019 | Evaluation of Sums Involving Products of Gaussian Q-Binomial Coefficients With Applications | Kılıç, Emrah ; Prodinger, Helmut |
2017 | Evaluation of Sums Involving Products of Gaussian Q-Binomial Coefficients With Applications To Fibonomial Sums | Kılıç, Emrah ; Prodinger, Helmut |
2017 | Evaluation of Sums Involving Products of Gaussian Qq-Binomial Coefficients With Applications To Fibonomial Sums | Kılıç, Emrah ; Prodınger, Helmut |
2020 | Evaluation of Sums of Products of Gaussian Q-Binomial Coefficients With Rational Weight Functions | Arıkan, Talha; Kılıç, Emrah ; Prodinger, Helmut |
1-Jun-2018 | Evaluation of Various Partial Sums of Gaussian Q-Binomial Sums | Kılıç, Emrah |
2008 | Explicit Formula for the Inverse of a Tridiagonal Matrix by Backward Continued Fractions | Kılıç, Emrah |
Jul-2019 | Explicit Spectrum of a Circulant-Tridiagonal Matrix With Applications | Kılıç, Emrah ; Yalçıner, Aynur |
2011 | Factorizations and Representations of Binary Polynomial Recurrences by Matrix Methods | Kılıç, Emrah ; Stanica, Pantelimon |
2009 | Factorizations of the Pascal Matrix Via a Generalized Second Order Recurrent Matrix | Kılıç, E. ; Ömür, Neşe; Tatar, G.; Ulutaş, Yücel Türker |
2023 | Fibonomial and Lucanomial Sums Through Well-Poised Q-Series | Chu, W.; Kılıç, Emrah |
2011 | A Formula for the Generating Functions of Powers of Horadam's Sequence With Two Additional Parameters | Kılıç, Emrah ; Ulutaş, Yücel Türker; Ömür, Neşe |
Apr-2018 | Formulae for Two Weighted Binomial Identities With the Falling Factorials | Kılıç, Emrah ; Ömür, Neşe; Koparal, Sibel |
2011 | Formulas for Fibonomial Sums With Generalized Fibonacci and Lucas Coefficients | Kılıç, Emrah ; Prodinger, Helmut; Akkuş, I.; Ohtsuka, H. |
2008 | Formulas for Sums of Generalized Order-K Fibonacci Type Sequences by Matrix Methods | Kılıç, Emrah |
2012 | Formulas for Weighted Binomial Sums Using the Powers of Terms of Binary Recurrences | Kılıç, Emrah ; Ulutaş, Yücel Türker; Ömür, Neşe |
2015 | Formulas for binomial sums including powers of fibonacci and lucas numbers | Kılıç, Emrah ; Akkuş, İlker; Ömür, Neşe; Ulutaş, Yücel Türker |
Jun-2020 | Formulæ for Multi-Parameter Gaussian Q-Binomial Sums With Applications | Kılıç, Emrah ; Prodinger, Helmut |
Jun-2015 | Formulæ Related To the Q-Dixon Formula With Applications To Fibonomial Sums | Kılıç, Emrah ; Prodinger, Helmut |
2024 | A Four Parameter Extension To the Clement Matrix and Its Role in Numerical Software Testing | Alazemi, A.; Hopkins, T.; Kılıç, E. |
2013 | General Approach in Computing Sums of Products of Binary Sequences | Kılıç, E. ; Stanica, Pantelimon |
Mar-2014 | A Generalization of a Conjecture of Melham | Kılıç, Emrah ; Akkuş, İlker; Prodinger, Helmut |
Nov-2014 | Generalized Binary Recurrent Quasi-Cyclic Matrices | Kılıç, Emrah ; Ulutaş, Yücel; Akkuş, İlker; Ömür, Neşe |
2006 | The Generalized Binet Formula, Representation and Sums of the Generalized Order-K Pell Numbers | Kılıç, Emrah ; Taşcı, Dursun |
Dec-2016 | Generalized Binomial Convolution of the Mth Powers of the Consecutive Integers With the General Fibonacci Sequence | Kılıç, Emrah ; Akkuş, İlker; Ömür, Neşe; Ulutaş, Yücel Türker |
2010 | The Generalized Fibonomial Matrix | Kılıç, Emrah |
Sep-2016 | The Generalized Lilbert Matrix | Kılıç, Emrah ; Prodinger, Helmut |
2008 | Generalized Order-k Fibonacci And Lucas Functions | Kılıç, Emrah ; Taşcı, Dursun |
2007 | The Generalized Order-K Fibonacci-Pell Sequence by Matrix Methods | Kılıç, Emrah |
2009 | The Generalized Pell (p, I)-Numbers and Their Binet Formulas, Combinatorial Representations, Sums | Kılıç, Emrah |
Oct-2014 | The Generalized Q-Pilbert Matrix | Kılıç, Emrah ; Prodinger, Helmut |
2016 | The Generalized Reciprocal Super Catalan Matrix | Kılıç, Emrah ; Arıkan, Talha |
Sep-2017 | Generalized double binomial sums families by generating functions | Kılıç, Emrah ; Belbachir, Hacene |
2009 | Generating Matrices for Weighted Sums of Second Order Linear Recurrences | Kılıç, Emrah ; Stanica, Pantelimon |
2023 | Harmony of Asymmetric Variants of the Filbert and Lilbert Matrices in Q-Form | Kılıç, E. ; Erşanlı, D. |
2016 | Identities With Squares of Binomial Coefficients: an Elementary and Explicit Approach | Kılıç, Emrah ; Prodinger, Helmut |
Aug-2020 | The Interesting Spectral Interlacing Property for a Certain Tridiagonal Matrix | da Fonseca, Carlos M.; Kılıç, Emrah ; Pereira, Antonio |
2013 | The Inverse of Banded Matrices | Kılıç, Emrah ; Stanica, Pantelimon |
2024 | Inverses and Determinants of Three Classes of Hankel Matrices | Chu, Wenchang; Kılıç, Emrah |
2009 | İkinci Basamaktan İndirgeme Dizileri ile Hessenberg Determinantların Karakterizasyonu | Yalçın, Menşur Tuğba |
2014 | Lagrange-burmann Ters Çevirme Formülü ve Kombinatorikte Uygulamaları | Öztürk, Halit |
2024 | Left and Right Eigenvectors of a Variant of the Sylvester-Kac Matrix | Wenchang,C.H.U.; Kılıç, Emrah |
2010 | The Lehmer Matrix and Its Recursive Analogue | Kılıç, E. ; Stanic, P. |
2019 | Lineer İndirgeme Dizilerinin Bazı Ters Toplamlarının Hesaplanması | Ersanlı, Didem |
2011 | A Matrix Approach for General Higher Order Linear Recurrences | Kılıç, Emrah ; Stanica, Pantelimon |
2012 | A Matrix Approach for Generalizing Two Curious Divisibility Properties | Kılıç, Emrah |
Feb-2020 | A Matrix Approach To Some Second-Order Difference Equations With Sign-Alternating Coefficients | Andelic, Milica; Du, Zhibin; da Fonseca, Carlos M.; Kılıç, Emrah |
2017 | The Matrix of Super Patalan Numbers and Its Factorizations | Kılıç, Emrah ; Prodinger, Helmut |
2009 | Matrix Representation of the Second Order Recurrence {u(kn)} | Kılıç, Emrah ; Ömür, Nese; Ulutaş, Yücel Türker |
2009 | More General Identities Involving the Terms of {w-N(a,b;p,q)} | Kılıç, Emrah ; Tan, Elif |
2013 | More on the Infinite Sum of Reciprocal Fibonacci, Pell and Higher Order Recurrences | Kılıç, Emrah ; Arıkan, Talha |
2010 | Negatively Subscripted Fibonacci and Lucas Numbers and Their Complex Factorizations | Kılıç, E. ; Taşcı, Dursun |
2-Apr-2020 | New Analogues of the Filbert and Lilbert Matrices Via Products of Two K-Tuples Asymmetric Entries | Kılıç, Emrah ; Ömür, Neşe; Koparal, Sibel |
Jun-2019 | New Asymmetric Generalizations of the Filbert and Lilbert Matrices | Kılıç, Emrah ; Koparal, Sibel; Ömür, Neşe |
2019 | New Binomial Double Sums With Products of Fibonacci and Lucas Numbers | Kılıç, Emrah ; Taşdemir, Funda |
2019 | New Binomial Double Sums With Products Op Fibonacci and Lucas Numbers | Kılıç, Emrah ; Taşdemir, Funda |
Apr-2020 | New Filbert and Lilbert Matrices With Asymmetric Entries | Bozdağ, Hacer; Kılıç, Emrah ; Akkuş, İlker |
2019 | New Reciprocal Sums Involving Finite Products of Second Order Recursions | Kılıç, Emrah ; Ersanlı, Didem |
Jul-2014 | New Sums Identities in Weighted Catalan Triangle With the Powers of Generalized Fibonacci and Lucas Numbers | Kılıç, Emrah ; Yalçıner, Aynur |
2021 | A New Type of Sylvester–kac Matrix and Its Spectrum | Kılıç, Emrah ; da Fonseca, C. M. |
Jan-2019 | A Nonlinear Generalization of the Filbert Matrix and Its Lucas Analogue | Kılıç, Emrah ; Arıkan, Talha |
2020 | Nonlinear Variants of the Generalized Filbert and Lilbert Matrices | Kılıç, Emrah ; Koparal, Sibel; Ömür, Neşe |
Aug-2019 | A Nonsymmetrical Matrix and Its Factorizations | Arıkan, Talha; Kılıç, Emrah ; Prodinger, Helmut |
Feb-2014 | A Note on the Conjecture of Ramirez and Sirvent | Kılıç, Emrah ; Prodinger, Helmut |
Mar-2020 | An Observation on the Determinant of a Sylvester-Kac Type Matrix | da Fonseca, Carlos M.; Kılıç, Emrah |
2008 | On a Constant-Diagonals Matrix | Kılıç, Emrah |
2017 | On Alternating Weighted Binomıal Sums With Falling Factorıals | Kılıç, Emrah ; Ömür, Neşe; Koparal, Sibel |
Apr-2019 | On Binomial Double Sums With Fibonacci and Lucas Numbers-I | Kılıç, Emrah ; Taşdemir, Funda |
Apr-2019 | On Binomial Double Sums With Fibonacci and Lucas Numbers-Ii | Kılıç, Emrah ; Taşdemir, Funda |
2008 | On Families of Bipartite Graphs Associated With Sums of Fibonacci and Lucas Numbers | Kılıç, Emrah ; Taşcı, Dursun |
2010 | On Families of Bipartite Graphs Associated With Sums of Generalized Order-K Fibonacci and Lucas Numbers | Kılıç, Emrah ; Taşcı, Dursun |