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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.ame8.01









  


  








Input Form





Hypergeometric2F1[13/4, 19/4, 1, z] == (2 ((-(6739 + 37767 z + 20985 z^2 + 45 z^3)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + 2 (-1 + Sqrt[z]) (-1637 - 5385 z - 1215 z^2 + 45 z^3) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/(3465 Pi (-1 + Sqrt[z])^7 (1 + Sqrt[z])^(13/2))








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