Legendre inversions and Ultra-hypergeometric series identities

Basen .; Wuyungaowa .

Basen . Department of Mathematics, College of Sciences and Technology, Inner Mongolia University Huhhot 010021, P. R. China
Wuyungaowa . Department of Mathematics, College of Sciences and Technology, Inner Mongolia University Huhhot 010021, P. R. China

Keywords: Ultra-hypergeometric series; Legendre inversions; convolution formula

Abstract

In this paper, we extension of hypergeometric series to obtain a new α-hypergeometric series, we establish three terminating Ultra-hypergeometric series identities, by means of Legendre inverse series relations. By using the linear combination between these three identities, we can obtain new terminating Ultra-hypergeometric series identities.

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