Abstract

Inspired by the recent work of Opps, Saad and Srivastava, who gave the recursion formulas of Appell’s function F 2 by the contiguous relation of the Gauss hypergeometric series 2 F 1, we establish the recursion formulas for Appell functions F 1, F 2, F 3 and F 4 by the contiguous relations of hypergeometric series.

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