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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=5/4





http://functions.wolfram.com/07.23.03.a9gc.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 5/4, 3, z] == (1/(13627845 Pi z^2)) (64 (4 Sqrt[1 - z] (14630 - 65835 z + 243882 z^2 - 363787 z^3 + 288918 z^4 - 119808 z^5 + 20480 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (29260 - 153615 z + 158589 z^2 - 215597 z^3 + 159987 z^4 - 62784 z^5 + 10240 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] - 2 Sqrt[1 - z] (14630 - 65835 z + 243882 z^2 - 363787 z^3 + 288918 z^4 - 119808 z^5 + 20480 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