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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=9/4, b>=a > For fixed z and a=9/4, b=19/4





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









  


  








Input Form





Hypergeometric2F1[9/4, 19/4, 6, z] == (1/(88935 Pi Sqrt[1 + Sqrt[z]] z^5)) (16384 (-(((2048 - 2016 z + 35 z^2 + 10 z^3) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])])/(-1 + Sqrt[z])) + (-2048 + 480 z + 85 z^2 + 20 z^3) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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