hypergeometric function

• To: mathgroup at smc.vnet.net
• Subject: [mg12857] hypergeometric function
• From: Klamser at t-online.de (Klamser)
• Date: Wed, 17 Jun 1998 00:28:00 -0400
• Sender: owner-wri-mathgroup at wolfram.com

```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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