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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/07.23.03.9442.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(1/4), 4, z] == (1/(27460107675 Pi z^3)) (256 Sqrt[1 + Sqrt[z]] ((153824 - 2158343 z + 18675195 z^2 + 276148830 z^3 + 12926550 z^4 - 5020587 z^5 + 1539759 z^6 - 303420 z^7 + 28080 z^8) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-153824 + 153824 Sqrt[z] + 2042975 z - 2042975 z^(3/2) - 17160990 z^2 + 17160990 z^(5/2) - 74254830 z^3 + 74254830 z^(7/2) + 19963320 z^4 - 19963320 z^(9/2) - 8085753 z^5 + 8085753 z^(11/2) + 2660190 z^6 - 2660190 z^(13/2) - 564720 z^7 + 564720 z^(15/2) + 56160 z^8 - 56160 z^(17/2)) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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