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Browsing Fen Edebiyat Fakültesi / Faculty of Science and Literature by Subject "Zeilberger's algorithm"

Browsing Fen Edebiyat Fakültesi / Faculty of Science and Literature by Subject "Zeilberger's algorithm"

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  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • Kılıç, Emrah; Prodinger, Helmut (University of Nis, 2017)
    Matrices related to Patalan and super-Patalan numbers are factored according to the LU-decomposition. Results are obtained via inspired guessings and later proved using methods from Computer Algebra.