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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.cdpd.01









  


  








Input Form





Hypergeometric2F1[41/8, 47/8, 5/2, z] == (1/(303025 (-1 + z)^8 z^(3/2))) (16 (Sqrt[z] (57 + 16684 z + 46758 z^2 + 17996 z^3 + 425 z^4) Cos[ArcSin[Sqrt[z]]/4] + ((-228 + 9177 z + 115492 z^2 + 164710 z^3 + 38104 z^4 + 425 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