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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.aloa.01









  


  








Input Form





Hypergeometric2F1[11/4, 11/4, 3, z] == (1/(441 Pi (-1 + z)^3 z^2)) (64 (4 (2 - 7 z + 5 z^2) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (4 (1 + Sqrt[1 - z]) - (14 + 13 Sqrt[1 - z]) z + (10 + 21 Sqrt[1 - z]) z^2) 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