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Some new formulas for Appell series over finite fields

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arxiv 1701.02674 v1 pith:3XQTM7XL submitted 2017-01-03 math.NT

classification math.NT
keywords finiteseriesappellanaloguefieldfieldsformulassome
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In 1987 Greene introduced the notion of the finite field analogue of hypergeometric series. In this paper we give a finite field analogue of Appell series and obtain some transformation and reduction formulas. We also establish the generating functions for Appell series over finite fields.

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