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

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 6, Issue 1

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.

Authors and Affiliations

Amir Pishkoo

Keywords

Related Articles

Global existence and uniqueness of the solution to a nonlinear parabolic equation

Consider the equation  u’ (t)  -  u + | u |p u = 0, u(0) = u0(x), (1), where u’ := du/dt , p = const > 0, x E R3, t > 0.  Assume that u0 is a smooth and decaying function,    &nbsp...

PARTITION OF MEASURABLE SETS

The theory of vector measure has attracted much interest among researchers in the recent past. Available results show that measurability concepts of the Lebesgue measure have been used to partition subsets of t...

A new Approach to Baire's Theorem and Banach Steinhaus Theorem in Linear 2-Normed Spaces

In this paper we construct the topological structure of linear 2-normed space. This enable us to dene the concept of open sets in linear 2-normed space and derive an analogue of Baire's theorem and Banach Steinhaus theor...

The Universal Coefticient Theorem in the Category of Fuzzy Soft Modules

This paper begins with the basic concepts of chain comlexes of fuzzy soft modules. Later, we introduce short exact sequence of fuzzy soft modules and prove that split short exact sequence of fuzzy soft chain complex. Nat...

Design of adaptive sliding mode controller for synchronization of chaos in system of Rossler in presence of uncertainty parameters

Many of the proposed approaches for nonlinear systems control are developed under the assumption that all involved parameters are known. However, the system uncertainties are always unavoidable and some system parameters...

Download PDF file
  • EP ID EP651379
  • DOI 10.24297/jam.v6i1.3640
  • Views 139
  • Downloads 0

How To Cite

Amir Pishkoo (2014). Relationship between Path and Series Representations for the Three Basic Univalent G-functions. JOURNAL OF ADVANCES IN MATHEMATICS, 6(1), 896-903. https://europub.co.uk/articles/-A-651379