Listar Artículos de revista - Aldizkari artikuluak por autor "Karp, D. B."
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An extension of the multiple Erdélyi-Kober operator and representations of the generalized hypergeometric functions
In this paper we investigate the extension of the multiple Erd elyi-Kober fractional integral operator of Kiryakova to arbitrary complex values of parameters by the way of regularization. The regularization involves ... -
On a particular class of Meijer's G functions appearing in fractional calculus
In this paper we investigate the Meijer G-function G p+1,p+1 p,1 which, for certain parameter values, represents the Riemann-Liouville fractional integral of the Meijer-Nørlund function G p,p. p,0 The properties of this ... -
Representations of hypergeometric functions for arbitrary parameter values and their use
Integral representations of hypergeometric functions proved to be a very useful tool for studying their properties. The purpose of this paper is twofold. First, we extend the known representations to arbitrary values of ... -
Uniformly convergent expansions for the generalized hypergeometric functions p –1Fp and pFp
López García, José Luis ; Pagola Martínez, Pedro Jesús ; Karp, D. B. (Taylor & Francis, 2020) Artículo / ArtikuluaWe derive a convergent expansion of the generalized hypergeometric function p−1 F p in terms of the Bessel functions 0 F 1 that holds uniformly with respect to the argument in any horizontal strip of the complex plane. We ...