Now showing items 1-5 of 5

    • Evaluation of Hessenberg Determinants via Generating Function Approach 

      Kılıç, Emrah; Arikan, Talha (University of Nis, 2017)
      In this paper, we will present various results on computing of wide classes of Hessenberg matrices whose entries are the terms of any sequence. We present many new results on the subject as well as our results will cover ...
    • Evaluation of spectrum of 2-periodic tridiagonal-Sylvester matrix 

      Kılıç, Emrah; Arikan, Talha (Scientific Technical Research Council TurkeyTürkiye bilimsel ve teknolojik araştırma kurumu, 2016)
      The Sylvester matrix was first defined by JJ Sylvester. Some authors have studied the relationships between certain orthogonal polynomials and the determinant of the Sylvester matrix. Chu studied a generalization of the ...
    • Formulæ for multi-parameter Gaussian q-binomial sums with applications 

      Kılıç, Emrah; Prodinger, Helmut (Springer Nature, 2020-06)
      Some Gaussian q-binomial sum identities from KAO are further generalized, introducing two additional parameters. We prove the claimed results by q-calculus. Finally we present applications to the generalized Fibonomial ...
    • A matrix approach to some second-order difference equations with sign-alternating coefficients 

      Andelic, Milica; Du, Zhibin; da Fonseca, Carlos M.; Kılıç, Emrah (Taylor and Francis Ltd., 2020-02)
      In this paper, we analyse and unify some recent results on the double sequence {yn,k}, for n, k ? 1, defined by the second-order difference equation (Formula presented.) with (Formula presented.) and (Formula presented.), ...
    • Two Variants of the Reciprocal Super Catalan Matrix 

      Kılıç, Emrah; Omur, Nese; Koparal, Sibel; Ulutas, Yucel Turker (Kyungpook National University, 2016-06)
      In this paper, we define two kinds variants of the super Catalan matrix as well as their q-analoques. We give explicit expressions for LU-decompositions of these matrices and their inverses.