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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=10/3, b>=a > For fixed z and a=10/3, b=11/3





http://functions.wolfram.com/07.23.03.8563.01









  


  








Input Form





Hypergeometric2F1[10/3, 11/3, -(1/2), -z] == (1/(12288 (1 + z)^(15/2))) ((12288 + 393216 z - 3828195 z^2 + 3770868 z^3 - 464016 z^4) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-4096 + 855465 z - 1628724 z^2 + 326384 z^3) 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