Further applications of the G function integral method
Classical Analysis and ODEs
2020-01-14 v1
Abstract
In our recent work we proposed a generalization of the beta integral method for derivation of the hypergeometric identities which can by analogy be termed "the G function integral method". In this paper we apply this technique to the cubic and the degenerate Miller-Paris transformations to get several new transformation and summation formulas for the generalized hypergeometric functions at a fixed argument. We further present an alternative approach for reducing the right hand sides resulting from our method to a single hypergeometric function which does not require the use of summation formulas.
Cite
@article{arxiv.2001.03635,
title = {Further applications of the G function integral method},
author = {M. A. C. Candezano and D. B. Karp and E. G. Prilepkina},
journal= {arXiv preprint arXiv:2001.03635},
year = {2020}
}
Comments
16 pages; no figures. arXiv admin note: text overlap with arXiv:1912.11266