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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=-7/8, b>=a > For fixed z and a=-7/8, b=31/8





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









  


  








Input Form





Hypergeometric2F1[-(7/8), 31/8, 1/2, z] == (1/(115 (1 - z)^(5/2))) ((-Sqrt[1 - z]) (-115 + 1131 z - 1892 z^2 + 880 z^3) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (499 - 1967 z + 2332 z^2 - 880 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