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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=33/8





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









  


  










Input Form





Hypergeometric2F1[-(19/8), 33/8, 11/2, z] == (1/(185148275 z^(9/2))) (512 ((1 + Sqrt[z])^(15/4) (34048 - 127680 Sqrt[z] + 278160 z - 487160 z^(3/2) + 739005 z^2 - 1023036 z^(5/2) + 1298080 z^3 - 1532160 z^(7/2) + 1532160 z^4 - 967680 z^(9/2) + 258048 z^5) - (1 - Sqrt[z])^(15/4) (34048 + 127680 Sqrt[z] + 278160 z + 487160 z^(3/2) + 739005 z^2 + 1023036 z^(5/2) + 1298080 z^3 + 1532160 z^(7/2) + 1532160 z^4 + 967680 z^(9/2) + 258048 z^5)))










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