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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
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You can reuse this document or portions thereof only if you do so under terms that are
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