Re: hypergeometric function

• To: mathgroup at smc.vnet.net
• Subject: [mg12899] Re: [mg12857] hypergeometric function
• From: "Jens-Peer Kuska" <kuska at linmpi.mpg.de>
• Date: Wed, 24 Jun 1998 03:44:22 -0400
• Sender: owner-wri-mathgroup at wolfram.com

```Hi Peter,

\$(a)_n\$ is the Pochhammer symbol with the definition \$(a)_n =
\Gamma(a+n)/\Gamma(a)\$
The Mathematica function is Pochhammer[a,n]

Hope that helps
Jens
-----Original Message-----
From: Klamser <Klamser at t-online.de>
To: mathgroup at smc.vnet.net
Subject: [mg12899] [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[
>&nbsp; RowBox[{\(\[Null]\_2\), \(F\_1\), \((a, b; c; z)\), "=",
>&nbsp;&nbsp;&nbsp; UnderoverscriptBox["\[Sum]", \(k = 0\),
>"\[Infinity]", &nbsp;&nbsp;&nbsp;&nbsp;
>LimitsPositioning->True], \(\(\((a)\)\_k\) \((b)\)\_k\), "/",
>&nbsp;&nbsp;&nbsp; \(\((c)\)\_k\), " ", \(z\^k\), "/", \(k!\), "
>
>The Sum Function uses the contsnts a, b and c wit the Index k. What
>does that mean??
>
>Greetings, Peter Klamser
>
>
>

```

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