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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=1/8, b>=a > For fixed z and a=1/8, b=7/8





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









  


  








Input Form





Hypergeometric2F1[1/8, 7/8, -(5/2), z] == -((1/(320 (1 - z)^(7/2))) (Sqrt[1 - z] (-320 + 984 z - 1039 z^2 + 455 z^3) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (-80 + 271 z - 326 z^2 + 455 z^3) 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