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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.b53c.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 5/8, 3/2, -z] == (1/(4125033 Sqrt[z] (1 + z)^(1/8))) (4 (Sqrt[z] (1140169 + 2770867 z + 4521723 z^2 + 4546481 z^3 + 2761056 z^4 + 933120 z^5 + 135168 z^6) Cos[ArcTan[Sqrt[z]]/4] - (435643 + 477333 z + 873461 z^2 + 958631 z^3 + 623436 z^4 + 222720 z^5 + 33792 z^6) 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