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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=7/4





http://functions.wolfram.com/07.23.03.a9i7.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 7/4, 4, -z] == (1/(140821065 Pi z^3)) (256 (1 + z)^(1/4) (2 (46816 + 217987 z + 153615 z^2 + 601707 z^3 + 837573 z^4 + 611478 z^5 + 233520 z^6 + 36960 z^7) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - (46816 + 217987 z + 153615 z^2 + 601707 z^3 + 837573 z^4 + 611478 z^5 + 233520 z^6 + 36960 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (-46816 - 182875 z - 21945 z^2 + 495543 z^3 + 1012701 z^4 + 919800 z^5 + 411600 z^6 + 73920 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