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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=11/4





http://functions.wolfram.com/07.23.03.a9lx.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 11/4, 5, -z] == (1/(4928737275 Pi z^4)) (4096 (1 + z)^(1/4) (2 (-80256 - 277552 z - 95095 z^2 + 241395 z^3 + 1501395 z^4 + 2498097 z^5 + 2021544 z^6 + 826320 z^7 + 137280 z^8) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + 8 Sqrt[1 + z] (10032 + 27170 z - 7315 z^2 - 21945 z^3 + 127785 z^4 + 357231 z^5 + 372330 z^6 + 180840 z^7 + 34320 z^8) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (-80256 - 277552 z - 95095 z^2 + 241395 z^3 + 1501395 z^4 + 2498097 z^5 + 2021544 z^6 + 826320 z^7 + 137280 z^8) 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