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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=19/4





http://functions.wolfram.com/07.23.03.a7r8.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 19/4, 4, -z] == (1/(4928737275 Pi z^3)) (256 (1 + z)^(1/4) (2 (13984 - 109687 z + 1162420 z^2 + 34633725 z^3 + 157874850 z^4 + 311268048 z^5 + 313194336 z^6 + 158695680 z^7 + 32248320 z^8) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - (13984 - 109687 z + 1162420 z^2 + 34633725 z^3 + 157874850 z^4 + 311268048 z^5 + 313194336 z^6 + 158695680 z^7 + 32248320 z^8) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (-13984 + 120175 z - 1254190 z^2 + 4827375 z^3 + 98867580 z^4 + 317592912 z^5 + 429461760 z^6 + 269018880 z^7 + 64496640 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