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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=5/2, b>=a > For fixed z and a=5/2, b=13/4





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









  


  








Input Form





Hypergeometric2F1[5/2, 13/4, 1, z] == (-2 (1 + Sqrt[1 - z]) (1 - z)^(1/4) (356 + 751 z + 48 z^2) EllipticE[(2 (-1 + Sqrt[1 - z]) (1 - z)^(1/4) + z)/(2 z)] + (4 (44 + 89 (1 - z)^(1/4) + 89 Sqrt[1 - z] + 89 (1 - z)^(3/4)) + (33 + 751 (1 - z)^(1/4) + 751 Sqrt[1 - z] + 751 (1 - z)^(3/4)) z + (-209 + 48 (1 - z)^(1/4) + 48 Sqrt[1 - z] + 48 (1 - z)^(3/4)) z^2) EllipticK[(2 (-1 + Sqrt[1 - z]) (1 - z)^(1/4) + z)/(2 z)])/ (45 Sqrt[2] Pi Sqrt[1 + Sqrt[1 - z]] (-1 + 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