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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=-47/8, b>=a > For fixed z and a=-47/8, b=5/8





http://functions.wolfram.com/07.23.03.b533.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 5/8, -(1/2), -z] == (1/(2508 (1 + z)^(1/8))) ((-(-2508 + 18183 z + 154534 z^2 + 366563 z^3 + 402976 z^4 + 214784 z^5 + 45056 z^6)) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (627 + 22486 z + 68407 z^2 + 85988 z^3 + 50176 z^4 + 11264 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