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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=5/4, b>=a > For fixed z and a=5/4, b=19/4





http://functions.wolfram.com/07.23.03.ak1x.01









  


  








Input Form





Hypergeometric2F1[5/4, 19/4, 11/2, z] == (16 ((112 - 56 Sqrt[z] + 12 z - 20 z^(3/2) + 7 z^2 - 12 z^(5/2) + 4 z^3 - 8 z^(7/2))/Sqrt[1 - Sqrt[z]] - (112 + 56 Sqrt[z] + 12 z + 20 z^(3/2) + 7 z^2 + 12 z^(5/2) + 4 z^3 + 8 z^(7/2))/Sqrt[1 + Sqrt[z]]))/ (143 z^(9/2))








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