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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=7/4, b>=a > For fixed z and a=7/4, b=17/4





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









  


  








Input Form





Hypergeometric2F1[7/4, 17/4, 1, -z] == (1/(585 Pi (1 + z)^(19/4))) (-4 (-1007 + 1254 z + 249 z^2 + 36 z^3) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + 2 (-1007 + 36 z^3 - 422 Sqrt[1 + z] + 3 z^2 (83 + 6 Sqrt[1 + z]) + 6 z (209 + 18 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