English

Connection problem for the generalized hypergeometric function

Classical Analysis and ODEs 2019-04-08 v1

Abstract

We solve connection problem between fundamental solutions at singular points 00 and 11 for the generalized hypergeometric function, using analytic continuation of the integral representation. All connection coefficients are products of the sine and the cosecant.

Keywords

Cite

@article{arxiv.1904.02935,
  title  = {Connection problem for the generalized hypergeometric function},
  author = {Y. Matsuhira and H. Nagoya},
  journal= {arXiv preprint arXiv:1904.02935},
  year   = {2019}
}

Comments

18 pages

R2 v1 2026-06-23T08:30:10.148Z