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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.bf0j.01









  


  








Input Form





Hypergeometric2F1[-(31/8), -(1/8), 5/2, z] == (1/(5257395 z^(3/2))) (16 ((-Sqrt[z]) (713 - 340931 z - 89349 z^2 + 31655 z^3 - 8736 z^4 + 1144 z^5) Cos[ArcSin[Sqrt[z]]/4] - (1/Sqrt[1 - z]) (4 (-713 + 12834 z + 6989 z^2 - 26039 z^3 + 8970 z^4 - 2327 z^5 + 286 z^6) 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