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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=-23/4, b>=a > For fixed z and a=-23/4, b=5/4





http://functions.wolfram.com/07.23.03.9590.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 5/4, 1, z] == (1/(504735 Pi)) (2 (-2 Sqrt[1 - z] (-873129 + 4585734 z - 9424941 z^2 + 9598336 z^3 - 4864000 z^4 + 983040 z^5) EllipticE[(1/2) (1 - Sqrt[1 - z])] + 2 (-184197 + 790626 z - 1446741 z^2 + 1354952 z^3 - 642560 z^4 + 122880 z^5) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (-873129 + 4585734 z - 9424941 z^2 + 9598336 z^3 - 4864000 z^4 + 983040 z^5) 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