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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=-15/8, b>=a > For fixed z and a=-15/8, b=5/8





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









  


  








Input Form





Hypergeometric2F1[-(15/8), 5/8, -(9/2), -z] == (1/(3072 (1 + z)^(25/8))) ((3072 + 8704 z + 7652 z^2 + 1573 z^3 - 299 z^4 + 208 z^5) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (768 + 1936 z + 1371 z^2 + 91 z^3 - 52 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