Now showing items 1-4 of 4

    • 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 proof of Clarke's conjecture 

      Kılıç, Emrah; Arıkan, Talha (Cambridge University Press, 2019-07)
      We consider new kinds of max and min matrices, [amax(i,j)]i,j?1 and [amin(i,j)]i,j?1, as generalizations of the classical max and min matrices. Moreover, their reciprocal analogues for a given sequence {an} have been ...
    • Studying new generalizations of Max-Min matrices with a novel approach 

      Kılıç, Emrah; Arıkan, Talha (TÜBİTAK, 2019)
      We consider new kinds of max and min matrices, [amax(i,j)]i,j?1 and [amin(i,j)]i,j?1, as generalizations of the classical max and min matrices. Moreover, their reciprocal analogues for a given sequence {an} have been ...