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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=-15/4, b>=a > For fixed z and a=-15/4, b=-5/4





http://functions.wolfram.com/07.23.03.ab7w.01









  


  








Input Form





Hypergeometric2F1[-(15/4), -(5/4), 5, -z] == (1/(93364366095 Pi z^4)) (4096 (1 + z)^(1/4) (4 (-3520 - 47080 z - 333795 z^2 - 2073225 z^3 + 30295002 z^4 - 18193986 z^5 + 62985 z^6 + 3315 z^7) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - 2 (-3520 - 47080 z - 333795 z^2 - 2073225 z^3 + 30295002 z^4 - 18193986 z^5 + 62985 z^6 + 3315 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (7040 + 88880 z + 601755 z^2 + 3705240 z^3 - 17714094 z^4 + 4495140 z^5 + 241995 z^6 + 13260 z^7) EllipticK[1/2 - 1/(2 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