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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=-17/4, b>=a > For fixed z and a=-17/4, b=-9/4





http://functions.wolfram.com/07.23.03.aac3.01









  


  










Input Form





Hypergeometric2F1[-(17/4), -(9/4), 6, z] == (1/(4169954163375 Pi z^5)) (16384 (-2 (-6144 + 102624 z - 878937 z^2 + 5562750 z^3 - 36960675 z^4 - 1115517224 z^5 - 1422562991 z^6 - 321762362 z^7 - 2390325 z^8 + 60900 z^9) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (6144 - 101088 z + 854385 z^2 - 5360550 z^3 + 35713575 z^4 + 614847404 z^5 + 673402447 z^6 + 127798650 z^7 + 15225 z^8) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (-6144 + 102624 z - 878937 z^2 + 5562750 z^3 - 36960675 z^4 - 1115517224 z^5 - 1422562991 z^6 - 321762362 z^7 - 2390325 z^8 + 60900 z^9) 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