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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=7/4





http://functions.wolfram.com/07.23.03.9662.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 7/4, 4, z] == (1/(704105325 Pi Sqrt[1 + Sqrt[z]] z^3)) (256 ((-(153824 + 153824 Sqrt[z] - 812383 z - 812383 z^(3/2) + 672980 z^2 + 672980 z^(5/2) - 3249930 z^3 - 3249930 z^(7/2) + 5689260 z^4 + 5689260 z^(9/2) - 5555487 z^5 - 5555487 z^(11/2) + 3189144 z^6 + 3189144 z^(13/2) - 1011120 z^7 - 1011120 z^(15/2) + 137280 z^8 + 137280 z^(17/2))) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (153824 - 850839 z + 865260 z^2 + 2133910 z^3 - 8387940 z^4 + 13542633 z^5 - 12493488 z^6 + 6852960 z^7 - 2090880 z^8 + 274560 z^9) 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