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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=-5/4





http://functions.wolfram.com/07.23.03.9354.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(5/4), 5, z] == (1/(25488471943935 Pi z^4)) (4096 Sqrt[1 + Sqrt[z]] (-4 (153824 - 2595780 z + 23924439 z^2 - 200548040 z^3 - 4420162383 z^4 - 4226619306 z^5 - 37754535 z^6 + 5911308 z^7 - 725985 z^8 + 46410 z^9) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (615296 - 615296 Sqrt[z] - 9921648 z + 9921648 z^(3/2) + 88328625 z^2 - 88328625 z^(5/2) - 737081345 z^3 + 737081345 z^(7/2) - 5777988762 z^4 + 5777988762 z^(9/2) - 2654364258 z^5 + 2654364258 z^(11/2) + 270055149 z^6 - 270055149 z^(13/2) - 43171245 z^7 + 43171245 z^(15/2) + 5529420 z^8 - 5529420 z^(17/2) - 371280 z^9 + 371280 z^(19/2)) 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