Affiliation:
1. Belarusian State University, Department of Mathematics and Mechanics, Minsk 220050, Belarus
2. Fukuoka University, Department of Applied Mathematics, Fukuoka 814-0180, Japan
Abstract
This paper is devoted to the study of the H-function as defined by the
Mellin-Barnes integral
Hp,qm,n(z)=12πi∫ℒℋp,qm,n(s)z−sds,
where the function ℋp,qm,n(s) is a certain ratio of products of the Gamma-functions with the argument s and the contour ℒ specially chosen. The
conditions for the existence of Hp,qm,n(z) are discussed and explicit power
and power-logarithmic series expansions of Hp,qm,n(z) near zero and infinity
are given. The obtained results define more precisely the known results.
Subject
Applied Mathematics,Modelling and Simulation,Statistics and Probability
Cited by
26 articles.
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