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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=3, b>=a > For fixed z and a=3, b=5





http://functions.wolfram.com/07.23.03.4021.01









  


  








Input Form





Hypergeometric2F1[3, 5, -(11/2), z] == (1/(33792 (-1 + z)^14)) ((-1 + z) (-33792 + z (531456 + z (-4079616 + z (20867072 + z (-84270080 + z (327717888 + z (-2203510784 + z (-4934480671 + 6 z (-244182463 + 48620 z (-83 + 2 z)))))))))) + 14549535 Sqrt[1 - z] z^(13/2) (255 + 16 z (17 + 3 z)) ArcSin[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