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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=-13/4, b>=a > For fixed z and a=-13/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[-(13/4), 21/4, 1, -z] == -((1/(9945 Pi (1 + z)^(3/4))) (2 (-2 (28193 + 415688 z + 1526448 z^2 + 2025408 z^3 + 887040 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (28193 + 887040 z^4 + 18248 Sqrt[1 + z] + 14784 z^3 (137 + 30 Sqrt[1 + z]) + 3696 z^2 (413 + 164 Sqrt[1 + z]) + 56 z (7423 + 3982 Sqrt[1 + z])) 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