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arXiv · 1101.4371

Asymptotics of Orthogonal Polynomials via Recurrence Relations

X. -S. Wang·R. Wong
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Abstract

We use the Legendre polynomials and the Hermite polynomials as two examples to illustrate a simple and systematic technique on deriving asymptotic formulas for orthogonal polynomials via recurrence relations. Another application of this technique is to provide a solution to a problem recently raised by M. E. H. Ismail.

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X. -S. Wang, R. Wong. 2011-01-23. Asymptotics of Orthogonal Polynomials via Recurrence Relations. https://arxiv.org/abs/1101.4371

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