Bing He
Published 2016-10-12Version 1
In this paper we introduce a finite field analogue of the Lauricella hypergeometric series. An integral formula for the Lauricella hypergeometric series and its finite field analogue are deduced. Some 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.
Comments: 22 pages. Any critical suggestions and comments are always welcomed
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