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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=-27/8





http://functions.wolfram.com/07.23.03.bep8.01









  


  








Input Form





Hypergeometric2F1[-(31/8), -(27/8), -(3/2), -z] == (1/(16 (1 + z)^(1/8))) ((16 + 141 z + 965 z^2 - 2029 z^3 + 171 z^4) Cos[ArcTan[Sqrt[z]]/4] + 2 Sqrt[z] (2 + 17 z + 1068 z^2 - 467 z^3) 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