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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 8 and fixed z and a<0 > For fixed z and a=-39/8, b>=a > For fixed z and a=-39/8, b=23/8





http://functions.wolfram.com/07.23.03.bae8.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 23/8, -(1/2), -z] == (-(-1 + 28 z + 458 z^2 + 1532 z^3 + 1840 z^4 + 736 z^5)) Cosh[ArcSinh[Sqrt[z]]/4] + (1/4) Sqrt[z/(1 + z)] (-1 + 607 z + 4160 z^2 + 9440 z^3 + 8832 z^4 + 2944 z^5) Sinh[ArcSinh[Sqrt[z]]/4]








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