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hypergeometric function∗ rspuzio† 2013-03-21 17:36:44 Let (a, b, c) be a triple of complex numbers with c not belonging to the set of negative integers. For a complex number w and a non negative integer n, use Pochhammer symbol (w)n , to denote the expression : (w)n = w(w + 1) . . . (w + n − 1). The Gauss hypergeometric function, 2 F1 , is then defined by the following power series expansion : ∞ X (a)n (b)n n F (a, b; c ; z) = z . 2 1 (c)n n! n=0 ∗ hHypergeometricFunctioni created: h2013-03-21i by: hrspuzioi version: h35983i Privacy setting: h1i hDefinitioni h33C05i † This text is available under the Creative Commons Attribution/Share-Alike License 3.0. You can reuse this document or portions thereof only if you do so under terms that are compatible with the CC-BY-SA license. 1