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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 8 and fixed z and a<0 > For fixed z and a=-19/8, b>=a > For fixed z and a=-19/8, b=41/8





http://functions.wolfram.com/07.23.03.bn24.01









  


  








Input Form





Hypergeometric2F1[-(19/8), 41/8, -(7/2), z] == (1/1523200) ((1/(1 - Sqrt[z])^(25/4)) (761600 - 4760000 Sqrt[z] + 15143600 z - 34255000 z^(3/2) + 62297095 z^2 - 95914000 z^(5/2) + 127206240 z^3 - 142800000 z^(7/2) + 125664000 z^4 - 76855296 z^(9/2) + 27955200 z^5 - 4472832 z^(11/2)) + (1/(1 + Sqrt[z])^(25/4)) (761600 + 4760000 Sqrt[z] + 15143600 z + 34255000 z^(3/2) + 62297095 z^2 + 95914000 z^(5/2) + 127206240 z^3 + 142800000 z^(7/2) + 125664000 z^4 + 76855296 z^(9/2) + 27955200 z^5 + 4472832 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