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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=-7/2





http://functions.wolfram.com/07.23.03.0766.01









  


  










Input Form





Hypergeometric2F1[-(11/2), -(7/2), 7/2, -z] == (1/(33554432 z^(5/2))) (Sqrt[z] Sqrt[1 + z] (-3465 + 2 z (-54285 + 4 z (3718213 + 2 z (-8544009 + 8 z (1069505 + 2 z (-120127 + 20 z (87 + 2 z))))))) + 3465 (1 + 32 z (1 + z (35 + 8 z (-70 + z (175 + 16 (-7 + 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