Speaker: Professor Roderick Wong (City University of HK)
Title: Asymptotic Approximations of Orthogonal Polynomials by Using Three-Term Recurrence Relations
Time: 2011-06-30 (Thu.)  15:00 - 16:00
Place: Conference Room, Institute of Mathematics (NTU Campus)
Abstract: One important property of orthogonal polynomials is that they all satisfy a three-term recurrence relation. However, constructions of even simple asymptotic formulas of classical orthogonal polynomials based on this fact do not seem to appear in the literature. In this talk, we shall present a summary of methods now available, which are based on recurrence relations and can be used to derive asymptotic approximations (expansions) for orthogonal polynomials, not only when the variable is fixed but also when it is allowed to vary in an interval containing a transition point.
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