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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=-19/4, b>=a > For fixed z and a=-19/4, b=-13/4





http://functions.wolfram.com/07.23.03.a94b.01









  


  










Input Form





Hypergeometric2F1[-(19/4), -(13/4), 4, -z] == (1/(155607276825 Pi z^3)) (256 (1 + z)^(1/4) (2 (-86944 - 2089373 z - 36924030 z^2 + 1971447645 z^3 - 5690452740 z^4 + 3639379437 z^5 - 474743166 z^6 + 215475 z^7) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - (-86944 - 2089373 z - 36924030 z^2 + 1971447645 z^3 - 5690452740 z^4 + 3639379437 z^5 - 474743166 z^6 + 215475 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (86944 + 2024165 z + 35416095 z^2 - 782094480 z^3 + 1513334670 z^4 - 593069067 z^5 + 31243875 z^6 + 430950 z^7) EllipticK[1/2 - 1/(2 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