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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=21/8





http://functions.wolfram.com/07.23.03.bxo8.01









  


  










Input Form





Hypergeometric2F1[1/8, 21/8, -(5/2), -z] == (1/(320 (1 + z)^(41/8))) ((320 + 1672 z + 3609 z^2 + 4550 z^3 + 1813 z^4 + 336 z^5) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (80 + 393 z + 786 z^2 - 427 z^3 - 84 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