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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=-3/4, b>=a > For fixed z and a=-3/4, b=3/4





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









  


  








Input Form





Hypergeometric2F1[-(3/4), 3/4, 4, -z] == (1/(17325 Pi z^3)) (256 (1 + z)^(1/4) ((-64 - 258 z - 420 z^2 + 30 z^3) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (32 (1 + Sqrt[1 + z]) + 15 z^3 (-1 + 2 Sqrt[1 + z]) + 15 z^2 (14 + 9 Sqrt[1 + z]) + 3 z (43 + 35 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