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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=-1/2, b>=a > For fixed z and a=-1/2, b=5





http://functions.wolfram.com/07.23.03.2789.01









  


  








Input Form





Hypergeometric2F1[-(1/2), 5, 11/2, -z] == (1/(32768 z^(9/2))) (21 (Sqrt[z] (-105 + z (110 + z (-136 + 105 z (2 + 9 z)))) + 15 (7 + z (-5 + z (6 + z (-10 + 7 z (5 + 9 z))))) ArcTan[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