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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a=5, b>=a > For fixed z and a=5, b=5





http://functions.wolfram.com/07.23.03.4404.01









  


  










Input Form





Hypergeometric2F1[5, 5, -(7/2), -z] == (1/(114688 (1 + z)^(27/2))) (Sqrt[1 + z] (114688 + z (2310144 + z (25493504 + z (237600768 + z (3666493440 + z (-23133380313 + 2 z (12540798883 + 4 z (-823583643 + 38255054 z)))))))) - 765765 z^(9/2) (12155 + 32 z (-1105 + z (765 + 4 (-34 + z) z))) ArcSinh[Sqrt[z]])










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02