Title:
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
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Author(s)
Geronimo, Jeffrey S.
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Abstract
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.
Sponsor
NSF grant number DMS-0500641.
Date Issued
2009-05
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Text
Resource Subtype
Pre-print