English

Connection Problem for an Extension of $q$-Hypergeometric Systems

Classical Analysis and ODEs 2022-10-24 v2 Mathematical Physics math.MP

Abstract

We give an example of solutions of the connection problem associated with a certain system of linear qq-difference equations recently introduced by Park. The result contains a connection formulas of the qq-Lauricella hypergeometric function φD\varphi_{D} and those of the qq-generalized hypergeometric function N+1φN{}_{N+1}\varphi_{N} as special cases.

Keywords

Cite

@article{arxiv.2102.09175,
  title  = {Connection Problem for an Extension of $q$-Hypergeometric Systems},
  author = {Takahiko Nobukawa},
  journal= {arXiv preprint arXiv:2102.09175},
  year   = {2022}
}
R2 v1 2026-06-23T23:16:36.616Z