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hypergeometric function

  • To: mathgroup at
  • Subject: [mg12857] hypergeometric function
  • From: Klamser at (Klamser)
  • Date: Wed, 17 Jun 1998 00:28:00 -0400
  • Sender: owner-wri-mathgroup at


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:

  RowBox[{\(\[Null]\_2\), \(F\_1\), \((a, b; c; z)\), "=",
    UnderoverscriptBox["\[Sum]", \(k = 0\),
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

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