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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=41/8, b>=a > For fixed z and a=41/8, b=45/8





http://functions.wolfram.com/07.23.03.cdn7.01









  


  








Input Form





Hypergeometric2F1[41/8, 45/8, 5/2, -z] == -((1/(11803 z^(3/2) (1 + z)^(65/8))) (16 (Sqrt[z] (1 - 700 z + 2086 z^2 - 892 z^3 + 33 z^4) Cos[ArcTan[Sqrt[z]]/4] + 4 (-1 - 38 z + 392 z^2 - 434 z^3 + 65 z^4) 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