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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=-31/8, b>=a > For fixed z and a=-31/8, b=-1/8





http://functions.wolfram.com/07.23.03.bf0l.01









  


  








Input Form





Hypergeometric2F1[-(31/8), -(1/8), 7/2, z] == (1/(375378003 z^(5/2))) (64 (-4 Sqrt[z] (-713 + 7843 z - 1534604 z^2 - 294086 z^3 + 80483 z^4 - 18109 z^5 + 2002 z^6) Cos[ArcSin[Sqrt[z]]/4] - (1/Sqrt[1 - z]) ((11408 - 133331 z + 1177876 z^2 - 15914 z^3 - 1328756 z^4 + 357149 z^5 - 76440 z^6 + 8008 z^7) Sin[ArcSin[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