A Problem in Potential Theory and Zero Asymptotics of Krawtchouk Polynomials

@inproceedings{Dragnev2000API,
  title={A Problem in Potential Theory and Zero Asymptotics of Krawtchouk Polynomials},
  author={Peter D. Dragnev and Edward B. Saff},
  year={2000}
}
In this paper we investigate the asymptotics of the zeros of normalized Krawtchouk polynomials k"n(Nx, p, N) when the ratio of the parameters n/N->@a as n, N->~. For this purpose we consider in detail a particular constrained energy problem on the interval [0, 1] in the presence of an external field. We find the support and the density of the constrained extremal measure for all possible values of the parameter @a. 

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