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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=-39/8, b>=a > For fixed z and a=-39/8, b=-33/8





http://functions.wolfram.com/07.23.03.b9oz.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(33/8), -(1/2), z] == (1/(228 Sqrt[1 - z])) ((-Sqrt[1 - z]) (-228 + 9177 z + 115492 z^2 + 164710 z^3 + 38104 z^4 + 425 z^5) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (57 + 16627 z + 30074 z^2 - 28762 z^3 - 17571 z^4 - 425 z^5) 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