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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=-14/3, b>=a > For fixed z and a=-14/3, b=5





http://functions.wolfram.com/07.23.03.5446.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 5, 10/3, -z] == (1/(14348907 z^(7/3))) (3 z^(1/3) (-3080 + 43890 z + 3348789 z^2 + 17241791 z^3 + 32488071 z^4 + 26373732 z^5 + 7827820 z^6) + 3080 (1 + z)^3 (1 - 17 z + 510 z^2 + 3910 z^3 + 5083 z^4) Log[1 + z^(1/3)] + 3080 (-1)^(2/3) (1 + z)^3 (1 - 17 z + 510 z^2 + 3910 z^3 + 5083 z^4) Log[1 - (-1)^(1/3) z^(1/3)] - 3080 (-1)^(1/3) (1 + z)^3 (1 - 17 z + 510 z^2 + 3910 z^3 + 5083 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