WKB and Turning Point Theory for Second Order Difference Equations: External Fields and Strong Asymptotics for Orthogonal Polynomials

Details WKB and Turning Point Theory for Second Order Difference Equations: External Fields and Strong Asymptotics for Orthogonal Polynomials WKB and Turning Point Theory for Second Order Difference Equations: External Fields and Strong Asymptotics for Orthogonal Polynomials

2009-05-11

arxiv.org/abs/0905.1684v2

Physics

Mathematical Physics

A minor change was made in the Introduction. Plain tex, 86 pages, 3 figures

Scientific paper

A LG-WKB and Turning point theory is developed for three term recurrence
formulas associated with monotonic recurrence coefficients. This is used to
find strong asymptotics for certain classical orthogonal polynomials including
Wilson polynomials.

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