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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=-11/2, b>=a > For fixed z and a=-11/2, b=1/2





http://functions.wolfram.com/07.23.03.0860.01









  


  










Input Form





Hypergeometric2F1[-(11/2), 1/2, 7/2, -z] == (1/(1835008 z^(5/2))) (Sqrt[z] Sqrt[1 + z] (-10395 + 2 z (-51975 + 4 z (140903 + 2 z (61709 + 8 z (5321 + 2 z (1225 + 4 z (83 + 10 z))))))) + 3465 (3 + 32 z (1 + 7 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