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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/07.23.03.5489.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 6, 7/3, z] == (1/(71744535 z^(4/3))) (3 z^(1/3) (-67760 + 18206065 z - 167459180 z^2 + 489208643 z^3 - 566734168 z^4 + 227006780 z^5) + 3080 (-22 - 1848 z + 39270 z^2 - 209440 z^3 + 451605 z^4 - 426972 z^5 + 147407 z^6) Log[1 - z^(1/3)] + 3080 (-1)^(2/3) (-22 - 1848 z + 39270 z^2 - 209440 z^3 + 451605 z^4 - 426972 z^5 + 147407 z^6) Log[1 + (-1)^(1/3) z^(1/3)] - 3080 (-1)^(1/3) (-22 - 1848 z + 39270 z^2 - 209440 z^3 + 451605 z^4 - 426972 z^5 + 147407 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