Now showing items 1-4 of 4

    • 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 ...
    • New analogues of the Filbert and Lilbert matrices via products of two k-tuples asymmetric entries 

      Kılıç, Emrah; Ömür, Neşe; Koparal, Sibel (Hacettepe University, 2020-04-02)
      In this paper, we present new analogues of the Filbert and Lilbert matrices via products of two k-tuples asymmetric entries consist of the Fibonacci and Lucas numbers. We shall derive explicit formulæ for their LU-decompositions ...
    • 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 ...
    • A variant of the reciprocal super Catalan matrix 

      Kılıç, Emrah; Akkus, Ilker; Kizilaslan, Gonca (De Gruyter Open Ltd, 2015-01)
      Recently Prodinger [8] considered the reciprocal super Catalan matrix and gave explicit formula for its LU-decomposition, the LU-decomposition of its inverse, and obtained some related matrices. For all results, q-analogues ...