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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=23/4





http://functions.wolfram.com/07.23.03.a9wi.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 23/4, 1, -z] == (1/(7315 Pi (1 + z)^(1/4))) (2 (4 Sqrt[1 + z] (5021 + 85904 z + 368784 z^2 + 565760 z^3 + 282880 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - 2 Sqrt[1 + z] (5021 + 85904 z + 368784 z^2 + 565760 z^3 + 282880 z^4) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + (-2727 + 26844 z + 521456 z^2 + 1913600 z^3 + 2545920 z^4 + 1131520 z^5) 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