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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=-19/4, b>=a > For fixed z and a=-19/4, b=13/4





http://functions.wolfram.com/07.23.03.a9ni.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 13/4, 3, z] == (1/(40883535 Pi z^2)) (64 (8 Sqrt[1 - z] (-1463 - 13167 z + 510660 z^2 - 1903088 z^3 + 2791296 z^4 - 1843200 z^5 + 458752 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (-5852 - 48279 z + 804942 z^2 - 2486219 z^3 + 3250560 z^4 - 1972224 z^5 + 458752 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] - 4 Sqrt[1 - z] (-1463 - 13167 z + 510660 z^2 - 1903088 z^3 + 2791296 z^4 - 1843200 z^5 + 458752 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