Transformation and summation formulas for Kampe de Feriet series.
Classical Analysis and ODEs
2009-09-25 v1
Abstract
The double hypergeometric Kamp\'e de F\'eriet series depends upon 9 complex parameters. We present three cases with 2 relations between those 9 parameters, and show that under these circumstances can be written as a series. Some limiting cases of these transformation formulas give rise to new summation results for special 's. The actual transformation results arose out of the study of 9- coefficients.
Keywords
Cite
@article{arxiv.math/9511219,
title = {Transformation and summation formulas for Kampe de Feriet series.},
author = {Sangita N. Pitre and Joris Van der Jeugt},
journal= {arXiv preprint arXiv:math/9511219},
year = {2009}
}