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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=-19/4





http://functions.wolfram.com/07.23.03.a908.01









  


  








Input Form





Hypergeometric2F1[-(19/4), -(19/4), 2, z] == (1/(3869635 Pi z)) (8 (2 Sqrt[1 - z] (7315 + 1090317 z + 7535774 z^2 + 11003162 z^3 + 3887071 z^4 + 238281 z^5) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (7315 + 1090317 z + 7535774 z^2 + 11003162 z^3 + 3887071 z^4 + 238281 z^5) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (-7315 - 117422 z + 4135595 z^2 + 19602332 z^3 + 19217299 z^4 + 4525106 z^5 + 168245 z^6) EllipticK[(1/2) (1 - Sqrt[1 - 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