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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/07.23.03.4897.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 5, -(11/3), -z] == (1/96228) ((1/(1 + z)^3) (3 (32076 - 151632 z + 653913 z^2 - 3487536 z^3 + 37055070 z^4 + 356379296 z^5 + 811353543 z^6 + 723290568 z^7 + 227006780 z^8)) + 15655640 z^(14/3) (17 + 29 z) Log[1 + z^(1/3)] + 15655640 (-1)^(2/3) z^(14/3) (17 + 29 z) Log[1 - (-1)^(1/3) z^(1/3)] - 15655640 (-1)^(1/3) z^(14/3) (17 + 29 z) 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