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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=13/4





http://functions.wolfram.com/07.23.03.9848.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 13/4, 2, z] == (1/(40883535 Pi z)) (8 (-2 Sqrt[1 - z] (168245 - 18210834 z + 129156597 z^2 - 338804608 z^3 + 420820992 z^4 - 251854848 z^5 + 58720256 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (168245 - 8116134 z + 46662705 z^2 - 107315440 z^3 + 121021440 z^4 - 67092480 z^5 + 14680064 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (168245 - 18210834 z + 129156597 z^2 - 338804608 z^3 + 420820992 z^4 - 251854848 z^5 + 58720256 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