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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=13/4





http://functions.wolfram.com/07.23.03.aj25.01









  


  








Input Form





Hypergeometric2F1[3/4, 13/4, 5, -z] == -((1/(8775 Pi z^4)) (4096 (1 + z)^(1/4) (-2 (128 + 80 z - 21 z^2 + 12 z^3) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (12 z^3 - 16 z (-5 + Sqrt[1 + z]) + 128 (1 + Sqrt[1 + z]) + 3 z^2 (-7 + 2 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