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





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









  


  








Input Form





Hypergeometric2F1[1/8, 31/8, -(5/2), z] == (1/(7360 (1 - z)^(13/2))) (4 Sqrt[1 - z] (1840 - 11454 z + 30728 z^2 - 52325 z^3 + 33228 z^4 - 12467 z^5 + 2002 z^6) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (1840 - 12029 z + 34063 z^2 - 270023 z^3 + 156845 z^4 - 53872 z^5 + 8008 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