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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=-1/4





http://functions.wolfram.com/07.23.03.a9bz.01









  


  








Input Form





Hypergeometric2F1[-(19/4), -(1/4), 4, -z] == (1/(5492021535 Pi z^3)) (256 (1 + z)^(1/4) (-2 (46816 + 580811 z + 4371444 z^2 - 53474166 z^3 + 1849692 z^4 + 540891 z^5 + 110760 z^6 + 10920 z^7) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (46816 + 580811 z + 4371444 z^2 - 53474166 z^3 + 1849692 z^4 + 540891 z^5 + 110760 z^6 + 10920 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (-46816 - 545699 z - 3967656 z^2 + 13481598 z^3 + 3016572 z^4 + 929565 z^5 + 205140 z^6 + 21840 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