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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=9/4





http://functions.wolfram.com/07.23.03.9724.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 9/4, 3, z] == (1/(140821065 Pi z^2)) (64 (-4 Sqrt[1 - z] (67298 + 168245 z - 3318912 z^2 + 10595225 z^3 - 15838816 z^4 + 12715776 z^5 - 5324800 z^6 + 917504 z^7) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (134596 + 235543 z - 2498997 z^2 + 6887941 z^3 - 9400043 z^4 + 7047552 z^5 - 2791424 z^6 + 458752 z^7) EllipticK[(1/2) (1 - Sqrt[1 - z])] + 2 Sqrt[1 - z] (67298 + 168245 z - 3318912 z^2 + 10595225 z^3 - 15838816 z^4 + 12715776 z^5 - 5324800 z^6 + 917504 z^7) 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