Recursion Formulae for Hypergeometric Functions

  • Published 2010

Abstract

indicates the term corresponding to j = h is to be deleted. If one of the a, = 0 or a negative integer, then (1) always converges, since it terminates. Otherwise it converges for all finite x if P ^ Q and for |a;| < 1 if P = Q + 1. In this case, however, the function can be analytically continued into the cut plane |arg (1 — a;)| < x, and we shall often… (More)

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