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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=41/8, b>=a > For fixed z and a=41/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[41/8, 47/8, 7/2, z] == (1/(3818115 (-1 + z)^7 z^(5/2))) (64 ((-Sqrt[z]) (-76 + 969 z + 47949 z^2 + 35899 z^3 + 1275 z^4) Cos[ArcSin[Sqrt[z]]/4] - ((304 - 4085 z + 49476 z^2 + 214418 z^3 + 82676 z^4 + 1275 z^5) Sin[ArcSin[Sqrt[z]]/4])/Sqrt[1 - z]))








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