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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=-19/4, b>=a > For fixed z and a=-19/4, b=3/4





http://functions.wolfram.com/07.23.03.a9do.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 3/4, -(11/2), z] == (1/4224) ((1/(1 - Sqrt[z])^(3/2)) (2112 - 3168 Sqrt[z] + 2160 z - 1920 z^(3/2) + 1560 z^2 - 1386 z^(5/2) + 1139 z^3 - 990 z^(7/2) + 780 z^4 - 640 z^(9/2) + 432 z^5 - 288 z^(11/2)) + (1/(1 + Sqrt[z])^(3/2)) (2112 + 3168 Sqrt[z] + 2160 z + 1920 z^(3/2) + 1560 z^2 + 1386 z^(5/2) + 1139 z^3 + 990 z^(7/2) + 780 z^4 + 640 z^(9/2) + 432 z^5 + 288 z^(11/2)))








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