Fractional calculus and expansions of incomplete gamma functions

Matrix Mittag-Leffler functions of fractional nabla calculus

In this article, we propose the definition of one parameter matrix Mittag-Leffler functions of fractional nabla calculus and present three different algorithms to construct them. Examples are provided to illustrate the applicability of suggested algorithms.

Certain subclass of $p$-valent meromorphic Bazilevi'{c} functions defined by fractional $q$-calculus operators

The aim of the present paper is to introduce and investigate a new subclass of Bazilevi'{c} functions in the punctured unit disk $mathcal{U}^*$ which have been described through using of the well-known fractional $q$-calculus operators, Hadamard product and a linear operator. In addition, we obtain some sufficient conditions for the func...

Generalized functions for the fractional calculus.

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Asymptotic expansions for ratios of products of gamma functions

An asymptotic expansion for a ratio of products of gamma functions is derived. 2000 Mathematics Subject Classification: Primary 33B15; Secondary 33C20

On Some Subclasses of Harmonic Functions Defined by Fractional Calculus