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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=-17/4, b>=a > For fixed z and a=-17/4, b=15/4





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









  


  










Input Form





Hypergeometric2F1[-(17/4), 15/4, 1/2, z] == (1/(71148 Pi^(3/2))) ((2 (17787 - 532416 z + 2516480 z^2 - 3833856 z^3 + 1835008 z^4) EllipticE[(1/2) (1 - Sqrt[z])] + 2 (17787 - 532416 z + 2516480 z^2 - 3833856 z^3 + 1835008 z^4) EllipticE[(1/2) (1 + Sqrt[z])] + (-17787 + 55749 Sqrt[z] + 532416 z - 429440 z^(3/2) - 2516480 z^2 + 829440 z^(5/2) + 3833856 z^3 - 458752 z^(7/2) - 1835008 z^4) EllipticK[(1/2) (1 - Sqrt[z])] + (-17787 - 55749 Sqrt[z] + 532416 z + 429440 z^(3/2) - 2516480 z^2 - 829440 z^(5/2) + 3833856 z^3 + 458752 z^(7/2) - 1835008 z^4) EllipticK[(1/2) (1 + Sqrt[z])]) Gamma[1/4]^2)










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