Now showing items 1-3 of 3

    • A class of non-symmetric band determinants with the Gaussian q-binomialcoefficients 

      Arikan, Talha; Kılıç, Emrah (Taylor and Francis Ltd., 2017)
      A class of symmetric band matrices of bandwidth 2r+1 with the binomial coefficients entries was studied earlier. We consider a class of non-symmetric band matrices with the Gaussian q-binomial coefficients whose upper ...
    • The generalized reciprocal super Catalan matrix 

      Kılıç, Emrah; Arikan, Talha (Scientific Technical Research Council TurkeyTürkiye bilimsel ve teknolojik araştırma kurumu, 2016)
      The reciprocal super Catalan matrix studied by Prodinger is further generalized, introducing two additional parameters. Explicit formulae are derived for the LU-decomposition and their inverses, as well as the Cholesky ...
    • A new type of Sylvester–Kac matrix and its spectrum 

      Kılıç, Emrah; da Fonseca, C.M. (Taylor and Francis Ltd., 2019-05-27)
      The Sylvester–Kac matrix, sometimes known as Clement matrix, has many extensions and applications throughout more than a century of its existence. The computation of the eigenvalues or even the determinant have always been ...