Asymptotics of Orthogonal Polynomials via Recurrence Relations

Details Asymptotics of Orthogonal Polynomials via Recurrence Relations Asymptotics of Orthogonal Polynomials via Recurrence Relations

2011-01-23

arxiv.org/abs/1101.4371v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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