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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=-11/4, b>=a > For fixed z and a=-11/4, b=7/2





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 7/2, 1, z] == (1/(770 Sqrt[2] Pi Sqrt[1 + Sqrt[1 - z]])) (26 (1 + Sqrt[1 - z]) (1 - z)^(1/4) (316 - 1768 z + 1785 z^2) EllipticE[(2 (-1 + Sqrt[1 - z]) (1 - z)^(1/4) + z)/(2 z)] - (1028 + 4108 (1 - z)^(1/4) + 4108 Sqrt[1 - z] + 4108 (1 - z)^(3/4) - 104 (-48 + 221 (1 - z)^(1/4) + 221 Sqrt[1 - z] + 221 (1 - z)^(3/4)) z + 1105 (-25 + 21 (1 - z)^(1/4) + 21 Sqrt[1 - z] + 21 (1 - z)^(3/4)) z^2 + 23205 z^3) EllipticK[(2 (-1 + Sqrt[1 - z]) (1 - z)^(1/4) + z)/(2 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