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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.b4zz.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(3/8), 5/2, -z] == -((16 (Sqrt[z] (-435643 - 189415312 z + 209544678 z^2 + 83410452 z^3 + 39475613 z^4 + 14067780 z^5 + 3136000 z^6 + 322560 z^7) Cos[ArcTan[Sqrt[z]]/4] - (-1742572 - 48356373 z + 308739628 z^2 + 18310698 z^3 + 8900712 z^4 + 3286435 z^5 + 758800 z^6 + 80640 z^7) Sin[ArcTan[Sqrt[z]]/4]))/(2839397715 z^(3/2) (1 + z)^(1/8)))








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