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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=39/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 39/8, 7/2, -z] == (1/(51625413 z^(5/2))) (64 (2 Sqrt[z] (78 - 923 z + 423068 z^2 + 3055333 z^3 + 8166352 z^4 + 10394064 z^5 + 6391296 z^6 + 1532160 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - (1/Sqrt[1 + z]) ((624 - 6955 z + 152828 z^2 + 2743609 z^3 + 12357714 z^4 + 25320464 z^5 + 26796384 z^6 + 14314752 z^7 + 3064320 z^8) 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