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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=1/4





http://functions.wolfram.com/07.23.03.9478.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 1/4, 4, z] == (1/(985747455 Pi z^3)) (256 (-2 Sqrt[1 - z] (-13984 + 160379 z - 1052296 z^2 - 2665558 z^3 + 1644692 z^4 - 885997 z^5 + 336476 z^6 - 77824 z^7 + 8192 z^8) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (-13984 + 170867 z - 1171597 z^2 + 5813990 z^3 + 464030 z^4 - 242809 z^5 + 89327 z^6 - 20032 z^7 + 2048 z^8) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (-13984 + 160379 z - 1052296 z^2 - 2665558 z^3 + 1644692 z^4 - 885997 z^5 + 336476 z^6 - 77824 z^7 + 8192 z^8) 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