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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=-10/3, b>=a > For fixed z and a=-10/3, b=6





http://functions.wolfram.com/07.23.03.6118.01









  


  










Input Form





Hypergeometric2F1[-(10/3), 6, 14/3, -z] == (1/(301327047 z^(11/3))) (44 (3 z^(2/3) (280 - 1827 z + 11046 z^2 + 2166710 z^3 + 8047260 z^4 + 9699690 z^5 + 3803800 z^6) - 70 (1 + z)^2 (-8 + 65 z - 416 z^2 + 3952 z^3 + 43472 z^4 + 54340 z^5) Log[1 + z^(1/3)] + 70 (-1)^(1/3) (1 + z)^2 (-8 + 65 z - 416 z^2 + 3952 z^3 + 43472 z^4 + 54340 z^5) Log[1 - (-1)^(1/3) z^(1/3)] - 70 (-1)^(2/3) (1 + z)^2 (-8 + 65 z - 416 z^2 + 3952 z^3 + 43472 z^4 + 54340 z^5) 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