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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=11/4





http://functions.wolfram.com/07.23.03.9787.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 11/4, 3, -z] == (1/(422463195 Pi z^2)) (64 (1 + z)^(1/4) (8 (-24035 + 144210 z + 2714271 z^2 + 9501288 z^3 + 15294042 z^4 + 13030380 z^5 + 5731440 z^6 + 1029600 z^7) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - 4 (-24035 + 144210 z + 2714271 z^2 + 9501288 z^3 + 15294042 z^4 + 13030380 z^5 + 5731440 z^6 + 1029600 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (96140 - 648945 z + 2842866 z^2 + 28542711 z^3 + 68612760 z^4 + 75105360 z^5 + 39673920 z^6 + 8236800 z^7) 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