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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=-31/8, b>=a > For fixed z and a=-31/8, b=29/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 29/8, -(11/2), -z] == (1/(2838528 (1 + z)^(41/8))) ((2838528 + 7209216 z + 3392480 z^2 - 1245803 z^3 + 1128894 z^4 - 1756183 z^5 + 7365904 z^6 + 27711360 z^7 + 24803328 z^8 + 7028736 z^9) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (709632 + 1580544 z + 412412 z^2 - 340821 z^3 + 374790 z^4 - 572377 z^5 - 5305824 z^6 - 5651712 z^7 - 1757184 z^8) 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