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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=15/4, b>=a > For fixed z and a=15/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[15/4, 21/4, 5, -z] == -((1/(765765 Pi z^4 (1 + z)^(15/4))) (4096 (-4 (192 + 712 z + 943 z^2 + 462 z^3 + 231 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (462 z^4 + 384 (1 + Sqrt[1 + z]) + 231 z^3 (4 + Sqrt[1 + z]) + 16 z (89 + 71 Sqrt[1 + z]) + z^2 (1886 + 1079 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