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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/07.23.03.9082.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(17/4), 3, z] == (1/(466821830475 Pi z^2)) (64 Sqrt[1 + Sqrt[z]] ((-4249388 + 205032971 z + 26322178170 z^2 + 165007123965 z^3 + 253751268720 z^4 + 110693649141 z^5 + 10957016418 z^6 + 3663075 z^7) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - 2 (-2124694 + 2124694 Sqrt[z] + 100922965 z - 100922965 z^(3/2) + 5942441220 z^2 - 5942441220 z^(5/2) + 27099795315 z^3 - 27099795315 z^(7/2) + 29397198570 z^4 - 29397198570 z^(9/2) + 8010039483 z^5 - 8010039483 z^(11/2) + 322350600 z^6 - 322350600 z^(13/2) - 3663075 z^7 + 3663075 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