On the -function
Received01 Apr 1997
Revised01 Sept 1998
This paper is devoted to the study of the -function as defined by the Mellin-Barnes integral , where the function is a certain ratio of products of the Gamma-functions with the argument and the contour specially chosen. The conditions for the existence of are discussed and explicit power and power-logarithmic series expansions of near zero and infinity are given. The obtained results define more precisely the known results.
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