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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=-47/8, b>=a > For fixed z and a=-47/8, b=29/8





http://functions.wolfram.com/07.23.03.b5hi.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 29/8, 7/2, z] == (1/(38047929381 z^(5/2))) (32 ((1 + Sqrt[z])^(23/4) (536176 - 3083012 Sqrt[z] + 13773021 z - 46245180 z^(3/2) + 176938080 z^2 + 7510272 z^(5/2) - 2520317184 z^3 + 8239199232 z^(7/2) - 12388823040 z^4 + 10013245440 z^(9/2) - 4228055040 z^5 + 735313920 z^(11/2)) + (1 - Sqrt[z])^(23/4) (-536176 - 3083012 Sqrt[z] - 13773021 z - 46245180 z^(3/2) - 176938080 z^2 + 7510272 z^(5/2) + 2520317184 z^3 + 8239199232 z^(7/2) + 12388823040 z^4 + 10013245440 z^(9/2) + 4228055040 z^5 + 735313920 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