Now showing items 1-8 of 8

    • Decompositions of the Cauchy and Ferrers-Jackson polynomials 

      Irmak, Nurettin; Kılıç, Emrah (Udruga Matematicara Osijek, 2016)
      Recently, Witula and Slota have given decompositions of the Cauchy and Ferrers-Jackson polynomials [Cauchy, Ferrers-Jackson and Chebyshev polynomials and identities for the powers of elements of some conjugate recurrence ...
    • The generalized Lilbert matrix 

      Kılıç, Emrah; Prodinger, Helmut (Springer, 2016-09)
      We introduce a generalized Lilbert [Lucas-Hilbert] matrix. Explicit formul' are derived for the LU-decomposition and their inverses, as well as the Cholesky decomposition. The approach is to use q-analysis and to leave the ...
    • The generalized q-Pilbert matrix 

      Kılıç, Emrah; Prodinger, Helmut (De Gruyter Open Ltd, 2014-10)
      A generalized q-Pilbert matrix from[KILIC, E.-PRODINGER, H.: The q-Pilbert matrix, Int. J. Comput. Math. 89 (2012), 1370-1377] is further generalized, introducing one additional parameter. Explicit formul' are derived for ...
    • 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.), ...
    • New binomial double sums with products of Fibonacci and Lucas numbers 

      Kılıç, Emrah; Taşdemir, Funda (Utilitas Mathematica Publisher Inc., 2019)
      In this paper, we consider and compute various interesting families of binomial double sums including products of the Fibonacci and Lucas numbers. These sums have nice representations in terms of again the Fibonacci and ...
    • On Binomial Double Sums with Fibonacci and Lucas numbers-I 

      Kılıç, Emrah; Taşdemir, Funda (Charles Babbage Research Centre, 2019-04)
      In this paper, we compute various binomial double sums involving the generalized Fibonacci and Lucas numbers as well as their alternating analogous.
    • On Binomial Double Sums With Fibonacci And Lucas Numbers-II 

      Kılıç, Emrah; Taşdemir, Funda (Charles Babbage Research Centre, 2019-04)
      In this paper, we compute various binomial-double-sums involving the Fibonacci numbers as well as their alternating analogous. It would be interesting that all sums we shall compute are evaluated in nice multiplication ...
    • Some Gaussian binomial sum formulæ with applications 

      Kılıç, Emrah; Prodinger, Helmut (Indian National Science Academy, 2016-09)
      We introduce and compute some Gaussian q-binomial sums formul ae. In order to prove these sums, our approach is to use q-analysis, in particular a formula of Rothe, and computer algebra. We present some applications of our ...