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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=15/8





http://functions.wolfram.com/07.23.03.ba9d.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 15/8, -(1/2), z] == (1/36) ((36 + 657 z - 8077 z^2 + 21560 z^3 - 21520 z^4 + 7360 z^5) Cos[ArcSin[Sqrt[z]]/4] + (Sqrt[z] (9 + 3058 z - 16627 z^2 + 31400 z^3 - 25200 z^4 + 7360 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