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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/07.23.03.5481.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 6, -(5/3), z] == (1/98415) ((1/(-1 + z)^3) (3 (-32805 - 452709 z - 9054180 z^2 + 163805540 z^3 - 653445065 z^4 + 1081593975 z^5 - 809396588 z^6 + 227006780 z^7)) + 1204280 z^(8/3) (77 - 364 z + 377 z^2) Log[1 - z^(1/3)] + 1204280 (-1)^(2/3) z^(8/3) (77 - 364 z + 377 z^2) Log[1 + (-1)^(1/3) z^(1/3)] - 1204280 (-1)^(1/3) z^(8/3) (77 - 364 z + 377 z^2) 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