A Lauricella hypergeometric series over finite fields
Classical Analysis and ODEs
2017-05-02 v3
Abstract
In this paper we introduce a finite field analogue of a Lauricella hypergeometric series. An integral formula for the Lauricella hypergeometric series and its finite field analogue are deduced. Transformation and reduction formulae and several generating functions for the Lauricella hypergeometric series over finite fields are obtained. Some of these generalize certain results of Li \emph{et al} and Greene as well as several other known results.
Cite
@article{arxiv.1610.04473,
title = {A Lauricella hypergeometric series over finite fields},
author = {Bing He},
journal= {arXiv preprint arXiv:1610.04473},
year = {2017}
}
Comments
22 pages. Any critical suggestions and comments are always welcomed