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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.b9un.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(17/8), -(3/2), z] == (1/(3344 Sqrt[1 - z])) (Sqrt[1 - z] (3344 - 23199 z + 101365 z^2 + 34119 z^3 - 9537 z^4 + 1428 z^5) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (836 - 6061 z - 24661 z^2 + 38709 z^3 - 10251 z^4 + 1428 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