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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=-11/4





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









  


  








Input Form





Hypergeometric2F1[-(11/4), -(11/4), -(7/2), z] == (1/(560 Pi^(3/2))) ((8 Sqrt[z] (70 - 125 z + 52 z^2) EllipticE[(1/2) (1 - Sqrt[z])] - 8 Sqrt[z] (70 - 125 z + 52 z^2) EllipticE[(1/2) (1 + Sqrt[z])] + (560 - 280 Sqrt[z] - 1420 z + 500 z^(3/2) + 1103 z^2 - 208 z^(5/2) - 231 z^3) EllipticK[(1/2) (1 - Sqrt[z])] + (560 + 280 Sqrt[z] - 1420 z - 500 z^(3/2) + 1103 z^2 + 208 z^(5/2) - 231 z^3) EllipticK[(1/2) (1 + Sqrt[z])]) Gamma[3/4]^2)








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