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.
Copyright
Copyright © 1999 Hindawi Publishing Corporation. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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