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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=29/8





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









  


  








Input Form





Hypergeometric2F1[-(7/8), 29/8, -(5/2), -z] == (1/(960 (1 + z)^(41/8))) ((960 + 3672 z + 3575 z^2 - 4550 z^3 - 8997 z^4 - 5680 z^5 - 1280 z^6) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (240 + 843 z + 650 z^2 + 1863 z^3 + 1320 z^4 + 320 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