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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=-29/8, b>=a > For fixed z and a=-29/8, b=15/8





http://functions.wolfram.com/07.23.03.bgq8.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 15/8, -(11/2), z] == (1/270336) ((1/(1 - Sqrt[z])^(15/4)) (135168 - 506880 Sqrt[z] + 864000 z - 1032960 z^(3/2) + 1077600 z^2 - 1023876 z^(5/2) + 901235 z^3 - 731340 z^(7/2) + 538800 z^4 - 344320 z^(9/2) + 172800 z^5 - 46080 z^(11/2)) + (1/(1 + Sqrt[z])^(15/4)) (135168 + 506880 Sqrt[z] + 864000 z + 1032960 z^(3/2) + 1077600 z^2 + 1023876 z^(5/2) + 901235 z^3 + 731340 z^(7/2) + 538800 z^4 + 344320 z^(9/2) + 172800 z^5 + 46080 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