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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/07.23.03.0797.01









  


  








Input Form





Hypergeometric2F1[-(11/2), -(5/2), 11/2, -z] == (1/(536870912 z^(9/2))) ((-Sqrt[z]) Sqrt[1 + z] (3465 + 2 z (33495 + 4 z (88011 + 4 z (193413 + 4 z (-3498422 + z (6883989 + 8 z (-322481 + 8 z (1087 + 2 z (27 + z))))))))) - 3465 (-1 + 4 z (-5 + 6 z (-9 + 16 z (-5 + 2 z (-35 + 4 z (63 + 2 z (-35 + 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