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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=5/8





http://functions.wolfram.com/07.23.03.bf21.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 5/8, -(11/2), -z] == (1/(405504 (1 + z)^(17/8))) ((405504 + 670464 z + 185120 z^2 - 38129 z^3 + 18681 z^4 - 13520 z^5 + 16640 z^6) Cos[ArcTan[Sqrt[z]]/4] + 2 Sqrt[z] (50688 + 67968 z + 6058 z^2 - 3237 z^3 + 2340 z^4 - 2080 z^5) Sin[ArcTan[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