Browsing 08 Faculty of Arts and Sciences by Author "Yılmaz, Banu"

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Browsing 08 Faculty of Arts and Sciences by Author "Yılmaz, Banu"

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  • Differential equations for the extended 2D Bernoulli and Euler polynomials 
    Özarslan, Mehmet Ali; Yılmaz, Banu (Springer International Publishing AG, 2013)
    In this paper, we introduce the extended 2D Bernoulli polynomials by t(alpha)/(e(t) - 1)(alpha) c(xt+ytj) = Sigma(infinity)(n=0) B-n((alpha,j)) (x,y,c) t(n)/n! and the extended 2D Euler polynomials by 2(alpha)(e(t) + ...
  • The extended Mittag-Leffler function and its properties 
    Özarslan, Mehmet Ali; Yılmaz, Banu (Springer International Publishing, 2014)
    In this paper, we present the extended Mittag-Leffler functions by using the extended Beta functions (Chaudhry et al. in Appl. Math. Comput. 159:589-602, 2004) and obtain some integral representations of them. The Mellin ...
  • A set of finite order differential equations for the Appell polynomials 
    Özarslan, Mehmet Ali; Yılmaz, Banu (Elsevier Science BV, 2014)
    Let { (x)}n=0 denote the set of Appell polynomials which includes, among others, Hermite, Bernoulli, Euler and Genocchi polynomials. In this paper, by introducing the generalized factorization method, for each kâ̂̂N, we ...
  • Some properties of appell polynomials 
    Yılmaz, Banu (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2014-02)
    ABSTRACT: This thesis consists of five chapters. The first Chapter gives general information about the thesis. In the second Chapter, some preliminaries and auxilary results that are used throughout the thesis are given. ...