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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=-1/4, b>=a > For fixed z and a=-1/4, b=13/4





http://functions.wolfram.com/07.23.03.aho8.01









  


  








Input Form





Hypergeometric2F1[-(1/4), 13/4, 2, z] == (8 ((1 - 24 z + 24 z^2) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-1 + Sqrt[z] + 12 z - 12 z^(3/2)) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/ (45 Pi (-1 + Sqrt[z]) Sqrt[1 + Sqrt[z]] 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