On the h-function

Details On the h-function On the h-function

1998-03-04

arxiv.org/abs/math/9803163v1

Mathematics

Classical Analysis and ODEs

Scientific paper

The paper is devoted to study the $H$-function defined by the Mellin-Barnes integral $$H^{m,n}_{\thinspace p,q}(z)={\frac1{2\pi i}}\int_{\Lss} \HHs^{m,n}_{\thinspace p,q}(s)z^{-s}ds,$$ where the function $\HH^{m,n}_{\thinspace p,q}(s)$ is a certain ratio of products of Gamma functions with the argument $s$ and the contour $\LL$ is specially chosen. The conditions for the existence of $H^{m,n}_{\thinspace p,q}(z)$ are discussed and explicit power and power-logarithmic series expansions of $H^{m,n}_{p,q}(z)$ near zero and infinity are given. The obtained results define more precisely the known results.

Affiliated with

Also associated with

No associations

Rating

On the h-function does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the h-function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the h-function will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-22552