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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 4 and fixed z > For fixed z and a=-19/4, b>=a > For fixed z and a=-19/4, b=-17/4





http://functions.wolfram.com/07.23.03.a91i.01









  


  








Input Form





Hypergeometric2F1[-(19/4), -(17/4), 1, z] == (1/(14549535 Pi)) (2 Sqrt[1 + Sqrt[z]] (4 (7759469 + 112631884 z + 262344846 z^2 + 133981260 z^3 + 11764845 z^4) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-16488341 + 16488341 Sqrt[z] - 168265708 z + 168265708 z^(3/2) - 263959230 z^2 + 263959230 z^(5/2) - 77571180 z^3 + 77571180 z^(7/2) - 2197845 z^4 + 2197845 z^(9/2)) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))








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