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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=-17/3, b>=a > For fixed z and a=-17/3, b=5





http://functions.wolfram.com/07.23.03.4899.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 5, -(8/3), -z] == (1/52488) (-((1/(1 + z)^2) (3 (-17496 + 150903 z - 1207224 z^2 + 17102340 z^3 + 215839820 z^4 + 599641119 z^5 + 629356728 z^6 + 227006780 z^7))) - 1204280 z^(11/3) (119 + 442 z + 377 z^2) Log[1 + z^(1/3)] - 1204280 (-1)^(2/3) z^(11/3) (119 + 442 z + 377 z^2) Log[1 - (-1)^(1/3) z^(1/3)] + 1204280 (-1)^(1/3) z^(11/3) (119 + 442 z + 377 z^2) 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