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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=6





http://functions.wolfram.com/07.23.03.5493.01









  


  








Input Form





Hypergeometric2F1[-(14/3), 6, 13/3, z] == (1/(516560652 z^(10/3))) (3 z^(1/3) (-21560 - 202510 z - 1949640 z^2 + 118558408 z^3 - 561724744 z^4 + 1004279199 z^5 - 785913128 z^6 + 227006780 z^7) + 3080 (-1 + z)^3 (7 + 85 z + 850 z^2 + 19550 z^3 - 127075 z^4 + 147407 z^5) Log[1 - z^(1/3)] + 3080 (-1)^(2/3) (-1 + z)^3 (7 + 85 z + 850 z^2 + 19550 z^3 - 127075 z^4 + 147407 z^5) Log[1 + (-1)^(1/3) z^(1/3)] - 3080 (-1)^(1/3) (-1 + z)^3 (7 + 85 z + 850 z^2 + 19550 z^3 - 127075 z^4 + 147407 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