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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=45/8





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









  


  








Input Form





Hypergeometric2F1[-(15/8), 45/8, -(1/2), -z] == (1/(55796 (1 + z)^(33/8))) (-4 (-13949 + 237133 z + 2931848 z^2 + 8957900 z^3 + 11904672 z^4 + 7383552 z^5 + 1757184 z^6) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (13949 + 1519522 z + 6346061 z^2 + 9913056 z^3 + 6834432 z^4 + 1757184 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