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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=-31/8, b>=a > For fixed z and a=-31/8, b=37/8





http://functions.wolfram.com/07.23.03.bfn3.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 37/8, 5/2, -z] == (16 (Sqrt[z] (-12121 + 22644241 z + 168735392 z^2 + 409032448 z^3 + 403566592 z^4 + 140574720 z^5) Cos[ArcTan[Sqrt[z]]/4] - 2 (-24242 + 812107 z + 11994968 z^2 + 38522176 z^3 + 44954624 z^4 + 17571840 z^5) Sin[ArcTan[Sqrt[z]]/4]))/(355750395 z^(3/2) (1 + z)^(1/8))








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