On the -function
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.
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.