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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.b53k.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 5/8, 7/2, -z] == (64 (Sqrt[z] (1742572 + 17861363 z + 708426348 z^2 + 718145082 z^3 + 646479808 z^4 + 412131595 z^5 + 172859680 z^6 + 42766080 z^7 + 4730880 z^8) Cos[ArcTan[Sqrt[z]]/4] - (6970288 + 73623667 z + 477464728 z^2 + 143091018 z^3 + 135970092 z^4 + 91302395 z^5 + 40086340 z^6 + 10321920 z^7 + 1182720 z^8) Sin[ArcTan[Sqrt[z]]/4]))/(38047929381 z^(5/2) (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