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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=-5/4





http://functions.wolfram.com/07.23.03.9351.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(5/4), 4, -z] == (1/(93364366095 Pi z^3)) (256 (1 + z)^(1/4) (2 (-153824 - 2831323 z - 35499695 z^2 + 1079828034 z^3 - 1290775302 z^4 + 14818713 z^5 + 2669901 z^6 + 371280 z^7 + 26520 z^8) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - (-153824 - 2831323 z - 35499695 z^2 + 1079828034 z^3 - 1290775302 z^4 + 14818713 z^5 + 2669901 z^6 + 371280 z^7 + 26520 z^8) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (153824 + 2715955 z + 33480755 z^2 - 375217974 z^3 + 219751350 z^4 + 26075127 z^5 + 4816695 z^6 + 702780 z^7 + 53040 z^8) 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