Relationship between Path and Series Representations for the Three Basic Univalent G-functions

DOI:

https://doi.org/10.24297/jam.v6i1.3640

Keywords:

Meijer's G-function, Univalent function, Univalent G-function, Biernacki operator, Libera operator.

Abstract

In this paper we demonstrate how series representation for the three basic univalent G-functions, namely G1;00;2; G1;11;2 and G1;11;1, can be obtained from their Mellin-Barnes path integral representations.In two special cases, images of third basic univalent G-function, G1;1,1;1 are derived by the Biernacki and Libera operators.

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Published

2014-01-30

How to Cite

Relationship between Path and Series Representations for the Three Basic Univalent G-functions. (2014). JOURNAL OF ADVANCES IN MATHEMATICS, 6(1), 896–903. https://doi.org/10.24297/jam.v6i1.3640

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Articles