English

A classical functional generalization of the first Barnes lemma

Complex Variables 2019-02-07 v1 Number Theory

Abstract

We give a brief account and a simpler proof of a contour integral formula for the Gauss hypergeometric function. Such formula is alternative to Barnes's integral formula and generalizes the first Barnes Lemma.

Keywords

Cite

@article{arxiv.1902.02241,
  title  = {A classical functional generalization of the first Barnes lemma},
  author = {Raffaele Marcovecchio},
  journal= {arXiv preprint arXiv:1902.02241},
  year   = {2019}
}

Comments

to appear at Siauliai Math. Sem

R2 v1 2026-06-23T07:33:43.231Z