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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=17/4





http://functions.wolfram.com/07.23.03.9986.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 17/4, 4, z] == (1/(27460107675 Pi z^3)) (256 (-2 Sqrt[1 - z] (153824 + 927751 z + 7873866 z^2 - 351488941 z^3 + 1609024300 z^4 - 3114749952 z^5 + 3064635392 z^6 - 1518338048 z^7 + 301989888 z^8) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (153824 + 812383 z + 7167237 z^2 - 142932439 z^3 + 547989235 z^4 - 951110592 z^5 + 863184896 z^6 - 400818176 z^7 + 75497472 z^8) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (153824 + 927751 z + 7873866 z^2 - 351488941 z^3 + 1609024300 z^4 - 3114749952 z^5 + 3064635392 z^6 - 1518338048 z^7 + 301989888 z^8) EllipticK[(1/2) (1 - 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