Re: hypergeometric function
- To: mathgroup at smc.vnet.net
- Subject: [mg12913] Re: [mg12857] hypergeometric function
- From: "Jrgen Tischer" <jtischer at col2.telecom.com.co>
- Date: Wed, 24 Jun 1998 03:44:34 -0400
- Sender: owner-wri-mathgroup at wolfram.com
Selber Hello,
M. Abramowitz, I Stegun ed, Handbook of Mathematical Functions, Dover
1965,
p. 256:
Pochhammer's Symbol,
(z)_n=z(z+1)(z+2)...(z+n-1)=Gamma(z+n)/Gamma(z).
Jrgen
-----Original Message-----
From: Klamser <Klamser at t-online.de>
To: mathgroup at smc.vnet.net
Subject: [mg12913] [mg12857] hypergeometric function
>Hello,
>
>in the Online-Help of Mathematica or in the Mathematica Book under
>Page #750 I can find the hypergeometric function Hypergeometric2F1[a,
>b, c, z]. I do not understand the definition:
>
>It say's:
>
>\!\(\*FormBox[
> RowBox[{\(\[Null]\_2\), \(F\_1\), \((a, b; c; z)\), "=",
> UnderoverscriptBox["\[Sum]", \(k = 0\),
>"\[Infinity]",
>LimitsPositioning->True], \(\(\((a)\)\_k\) \((b)\)\_k\), "/",
> \(\((c)\)\_k\), " ", \(z\^k\), "/", \(k!\), "
>"}], TraditionalForm]\)
>
>The Sum Function uses the contsnts a, b and c wit the Index k. What
>does that mean??
>
>Greetings, Peter Klamser
>
>