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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=-5/2





http://functions.wolfram.com/07.23.03.0785.01









  


  








Input Form





Hypergeometric2F1[-(11/2), -(5/2), 3/2, -z] == (1/(49152 Sqrt[z])) (Sqrt[z] Sqrt[1 + z] (45687 - 2 z (174043 + 4 z (-43895 + 4 z (711 + 4 z (16 + z))))) - 3465 (-1 + 4 z (9 + 2 z (-15 + 8 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