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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/07.23.03.9786.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 11/4, 3, z] == -((1/(422463195 Pi z^2)) (64 Sqrt[1 + Sqrt[z]] (4 (24035 + 144210 z - 2714271 z^2 + 9501288 z^3 - 15294042 z^4 + 13030380 z^5 - 5731440 z^6 + 1029600 z^7) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-96140 + 96140 Sqrt[z] - 648945 z + 648945 z^(3/2) - 2842866 z^2 + 2842866 z^(5/2) + 28542711 z^3 - 28542711 z^(7/2) - 68612760 z^4 + 68612760 z^(9/2) + 75105360 z^5 - 75105360 z^(11/2) - 39673920 z^6 + 39673920 z^(13/2) + 8236800 z^7 - 8236800 z^(15/2)) 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