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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 3 and fixed z > For fixed z and a=7/3, b>=a > For fixed z and a=7/3, b=8/3





http://functions.wolfram.com/07.23.03.8265.01









  


  








Input Form





Hypergeometric2F1[7/3, 8/3, -(5/2), -z] == (1/(51840 (1 + z)^(15/2))) (3 (17280 + 173568 z + 928256 z^2 + 5544960 z^3 - 12810447 z^4 + 2119244 z^5) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (17280 + 161408 z + 816000 z^2 - 14668743 z^3 + 4362068 z^4) Sinh[ArcSinh[Sqrt[z]]/3])








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