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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=11/4, b>=a > For fixed z and a=11/4, b=21/4





http://functions.wolfram.com/07.23.03.alx7.01









  


  








Input Form





Hypergeometric2F1[11/4, 21/4, -(1/2), -z] == (Sqrt[z] (z (6642 - 5384 Sqrt[1 + z]) + z^4 (97 - 191 Sqrt[1 + z]) + z^5 (6 - 12 Sqrt[1 + z]) + 17 (1 + Sqrt[1 + z]) - 4 z^3 (-2928 + 737 Sqrt[1 + z]) + 2 z^2 (-11997 + 6475 Sqrt[1 + z])))/ (34 Sqrt[2] (1 + z)^(17/2) Sqrt[-1 + Sqrt[1 + 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