Using a difference-equation method of Wang and Wong (2003), we study the associated  Pollaczek polynomials $P_n^/lambda(x;a,b,c)$ defined by a three-term recurrence relation. Two asymptotic approximations are derived for these  polynomials; one holds for $x=1+/frac tn$ with $-(a+b)<t$ and $(a+b)>0$, and the other  holds for $x=1+/frac tn$ with $t$ in a neighborhood of $t=-(a+b)$. An asymptotic formula is also provided for their  largest zeros.   This is joint work with R. Wong.

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