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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=4





http://functions.wolfram.com/07.23.03.4866.01









  


  










Input Form





Hypergeometric2F1[-(17/3), 4, 13/3, -z] == (1/(774840978 z^(10/3))) (3 z^(1/3) (366520 - 1034110 z + 5000380 z^2 + 168966134 z^3 + 648082024 z^4 + 1091630435 z^5 + 956865910 z^6 + 429325820 z^7 + 78278200 z^8) + 52360 (1 + z)^6 (-7 + 60 z - 345 z^2 + 2990 z^3) Log[1 + z^(1/3)] + 52360 (-1)^(2/3) (1 + z)^6 (-7 + 60 z - 345 z^2 + 2990 z^3) Log[1 - (-1)^(1/3) z^(1/3)] - 52360 (-1)^(1/3) (1 + z)^6 (-7 + 60 z - 345 z^2 + 2990 z^3) 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