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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=21/8





http://functions.wolfram.com/07.23.03.b5by.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 21/8, -(5/2), -z] == (1/(6080 (1 + z)^(1/8))) ((-(-6080 + 36936 z - 217189 z^2 + 2617440 z^3 + 22627584 z^4 + 40341504 z^5 + 20643840 z^6)) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (1520 - 9709 z + 57456 z^2 + 3432576 z^3 + 8472576 z^4 + 5160960 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