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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=3/4





http://functions.wolfram.com/07.23.03.a9ef.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 3/4, 2, -z] == (1/(504735 Pi z)) (8 (1 + z)^(1/4) (2 (-21945 + 59181 z + 84033 z^2 + 67527 z^3 + 28700 z^4 + 5040 z^5) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - (-21945 + 59181 z + 84033 z^2 + 67527 z^3 + 28700 z^4 + 5040 z^5) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (21945 + 50544 z + 97509 z^2 + 98430 z^3 + 49840 z^4 + 10080 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