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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=13/4





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 13/4, 2, z] == (1/(10395 Pi z)) (8 (2 Sqrt[1 - z] (-77 + 4188 z - 12288 z^2 + 8192 z^3) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (77 (1 + Sqrt[1 - z]) - 3 (549 + 1396 Sqrt[1 - z]) z + 192 (19 + 64 Sqrt[1 - z]) z^2 - 2048 (1 + 4 Sqrt[1 - z]) z^3) EllipticK[(1/2) (1 - 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