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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=13/4, b>=a > For fixed z and a=13/4, b=19/4





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









  


  








Input Form





Hypergeometric2F1[13/4, 19/4, 6, z] == (16384 ((-2048 + 3936 z - 1875 z^2 + 15 z^3) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - (-1 + Sqrt[z]) (2048 - 2400 z + 315 z^2 + 30 z^3) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/(72765 Pi (-1 + Sqrt[z])^2 (1 + Sqrt[z])^(3/2) z^5)








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