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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=-15/4, b>=a > For fixed z and a=-15/4, b=-15/4





http://functions.wolfram.com/07.23.03.ab17.01









  


  










Input Form





Hypergeometric2F1[-(15/4), -(15/4), 5, z] == (1/(17169326707995 Pi z^4)) (4096 (8 Sqrt[1 - z] (-36960 + 719180 z - 8028405 z^2 + 88455675 z^3 + 1613858198 z^4 + 2568166362 z^5 + 878398527 z^6 + 50446943 z^7) EllipticE[(1/2) (1 - Sqrt[1 - z])] - 4 Sqrt[1 - z] (-36960 + 719180 z - 8028405 z^2 + 88455675 z^3 + 1613858198 z^4 + 2568166362 z^5 + 878398527 z^6 + 50446943 z^7) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (147840 - 2987600 z + 34260765 z^2 - 377710410 z^3 + 2191226383 z^4 + 17647322196 z^5 + 17869391979 z^6 + 4033363942 z^7 + 140821065 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