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In this paper, we extension of hypergeometric series to obtain a new Ultra-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.
Ultra-hypergeometric series; Legendre inversions; convolution formula
Ultra-hypergeometric series; Legendre inversions; convolution formula
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