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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=-3/4





http://functions.wolfram.com/07.23.03.9378.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(3/4), 2, z] == (1/(4542615 Pi z)) (8 (2 Sqrt[1 - z] (24035 + 937044 z + 573714 z^2 - 225484 z^3 + 80163 z^4 - 18720 z^5 + 2048 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (24035 - 216636 z - 2508534 z^2 - 61444 z^3 + 21291 z^4 - 4824 z^5 + 512 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (24035 + 937044 z + 573714 z^2 - 225484 z^3 + 80163 z^4 - 18720 z^5 + 2048 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