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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=-7/8, b>=a > For fixed z and a=-7/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[-(7/8), 37/8, 1/2, -z] == (1/(377 (1 + z)^(25/8))) ((377 + 4393 z + 10660 z^2 + 9728 z^3 + 3072 z^4) Cos[ArcTan[Sqrt[z]]/4] - Sqrt[z] (607 + 2043 z + 2192 z^2 + 768 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