Browsing MAT – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Mathematics by Author "Yılmaz, Banu"

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Browsing MAT – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Mathematics 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 ...