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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/07.23.03.9443.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(1/4), 4, -z] == (1/(27460107675 Pi z^3)) (256 (1 + z)^(1/4) (-2 (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[1/2 - 1/(2 Sqrt[1 + 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) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (-153824 - 2042975 z - 17160990 z^2 + 74254830 z^3 + 19963320 z^4 + 8085753 z^5 + 2660190 z^6 + 564720 z^7 + 56160 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