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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/07.23.03.9374.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(3/4), 1, z] == (1/(504735 Pi)) (2 (2 Sqrt[1 - z] (536639 + 660267 z - 359811 z^2 + 165049 z^3 - 47328 z^4 + 6144 z^5) EllipticE[(1/2) (1 - Sqrt[1 - z])] - 8 (3988 - 235917 z - 12519 z^2 + 5549 z^3 - 1533 z^4 + 192 z^5) EllipticK[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (536639 + 660267 z - 359811 z^2 + 165049 z^3 - 47328 z^4 + 6144 z^5) 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