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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=-17/8





http://functions.wolfram.com/07.23.03.b9ua.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(17/8), -(11/2), z] == (1/(315392 Sqrt[1 - z])) ((-Sqrt[1 - z]) (-315392 + 603904 z - 303072 z^2 + 14467 z^3 + 2125 z^4 + 476 z^5) Cos[ArcSin[Sqrt[z]]/4] - Sqrt[z] (-78848 + 175616 z - 112476 z^2 + 13345 z^3 + 1887 z^4 + 476 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