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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=-16/3, b>=a > For fixed z and a=-16/3, b=6





http://functions.wolfram.com/07.23.03.5091.01









  


  








Input Form





Hypergeometric2F1[-(16/3), 6, 5/3, z] == (1/14348907) (3 (4716721 - 85499696 z + 449304856 z^2 - 978337360 z^3 + 939918980 z^4 - 330169840 z^5) - (1/z^(2/3)) (1456 (91 - 8736 z + 103740 z^2 - 434720 z^3 + 815100 z^4 - 702240 z^5 + 226765 z^6) Log[1 - z^(1/3)]) + (1/z^(2/3)) (1456 (-1)^(1/3) (91 - 8736 z + 103740 z^2 - 434720 z^3 + 815100 z^4 - 702240 z^5 + 226765 z^6) Log[1 + (-1)^(1/3) z^(1/3)]) - (1/z^(2/3)) (1456 (-1)^(2/3) (91 - 8736 z + 103740 z^2 - 434720 z^3 + 815100 z^4 - 702240 z^5 + 226765 z^6) 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