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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 3 and fixed z > For fixed z and a=-10/3, b>=a > For fixed z and a=-10/3, b=5





http://functions.wolfram.com/07.23.03.6098.01









  


  








Input Form





Hypergeometric2F1[-(10/3), 5, 17/3, z] == (1/(86093442 z^(14/3))) (11 (-3 z^(2/3) (7700 + 8680 z + 13965 z^2 + 34160 z^3 - 2421848 z^4 + 5968560 z^5 - 5152420 z^6 + 1521520 z^7) - 280 (-1 + z)^4 (55 + 260 z + 780 z^2 + 1976 z^3 + 5434 z^4) Log[1 - z^(1/3)] + 280 (-1)^(1/3) (-1 + z)^4 (55 + 260 z + 780 z^2 + 1976 z^3 + 5434 z^4) Log[1 + (-1)^(1/3) z^(1/3)] - 280 (-1)^(2/3) (-1 + z)^4 (55 + 260 z + 780 z^2 + 1976 z^3 + 5434 z^4) Log[1 - (-1)^(2/3) z^(1/3)]))








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