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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=-21/8, b>=a > For fixed z and a=-21/8, b=47/8





http://functions.wolfram.com/07.23.03.bm7v.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 47/8, 9/2, z] == (1/(52180905 z^(7/2))) (128 ((1 + Sqrt[z])^(5/4) (320 - 400 Sqrt[z] + 2312 z - 2815 z^(3/2) + 13872 z^2 - 16800 z^(5/2) + 147840 z^3 + 22272 z^(7/2) - 1136640 z^4 + 724992 z^(9/2) + 1228800 z^5 - 983040 z^(11/2)) - (1 - Sqrt[z])^(5/4) (320 + 400 Sqrt[z] + 2312 z + 2815 z^(3/2) + 13872 z^2 + 16800 z^(5/2) + 147840 z^3 - 22272 z^(7/2) - 1136640 z^4 - 724992 z^(9/2) + 1228800 z^5 + 983040 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