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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=-3/8





http://functions.wolfram.com/07.23.03.b4z3.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(3/8), -(11/2), -z] == (1/(946176 (1 + z)^(1/8))) ((946176 + 467712 z - 128352 z^2 + 71791 z^3 - 52212 z^4 + 46592 z^5 - 64512 z^6) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (236544 + 43008 z - 26124 z^2 + 19591 z^3 - 16688 z^4 + 16128 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