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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=-7/4





http://functions.wolfram.com/07.23.03.a97h.01









  


  








Input Form





Hypergeometric2F1[-(19/4), -(7/4), 1, -z] == (1/(21945 Pi Sqrt[1 + Sqrt[1 + z]])) (2 Sqrt[2] (Sqrt[1 + z] (25513 - 97501 z + 16443 z^2 + 2401 z^3 + 224 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + (25513 - 71988 z - 81058 z^2 + 18844 z^3 + 2625 z^4 + 224 z^5) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - 8 (446 + 12835 z - 21861 z^2 + 77 z^3 + 7 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - Sqrt[1 + z] (25513 - 97501 z + 16443 z^2 + 2401 z^3 + 224 z^4) EllipticK[(-1 + Sqrt[1 + z])/(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