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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=7/8





http://functions.wolfram.com/07.23.03.bf4e.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 7/8, 5/2, z] == (1/(404415 z^(3/2))) (16 (Sqrt[z] (-713 + 29955 z - 42231 z^2 + 34393 z^3 - 14828 z^4 + 2640 z^5) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) ((2852 - 20677 z + 47595 z^2 - 57739 z^3 + 41477 z^4 - 16148 z^5 + 2640 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