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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.btsa.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 37/8, -(3/2), -z] == (1/(18096 (1 + z)^(41/8))) ((-(-18096 - 43355 z + 94250 z^2 + 340641 z^3 + 405820 z^4 + 220160 z^5 + 46080 z^6)) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (4524 + 9425 z + 61914 z^2 + 86325 z^3 + 51440 z^4 + 11520 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