Hypergeometric functions Bessel functions : Hypergeometric functions

Hypergeometric functions
Hypergeometric functions Bessel functions

Publication date: April 10, 1997 | Lire en français

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1. Hypergeometric functions

In this section, we draw on the works of Lebedev [1] and Tricomi [2].

By definition, a hypergeometric series is the integer series :

\sum_{n \geq 0} \frac{{(α)}_{n} {(β)}_{n}}{{(γ)}_{n}} \frac{z^{n}}{n}

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Hypergeometric functions

(1) - LEBEDEV (N.N.) - Special functions and their applications, - Dover (1972).
(2) - TRICOMI (F.G.) - Fonctions hypergéométriques confluentes. - Mémorial des sciences mathématiques 140, Gauthier-Villars (1960).

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