On the recurrence coefficients of the generalized littleq-Laguerre polynomials
نویسندگان
چکیده
منابع مشابه
On the recurrence coefficients of semiclassical Laguerre polynomials
It is known [L. Boelen, W. Van Assche, Proc. Amer. Math. Soc. 138 (2010), 1317–1331] that the coefficients of the three-term recurrence relation for orthogonal polynomials with respect to a semiclassical extension of the Laguerre weight satisfy a discrete Painlevé equation. By using the Toda system for the recurrence coefficients we show that this discrete equation can be obtained from a Bäcklu...
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We consider two semiclassical extensions of the Laguerre weight and their associated sets of orthogonal polynomials. These polynomials satisfy a three-term recurrence relation. We show that the coefficients appearing in this relation satisfy discrete Painlevé equations.
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ژورنال
عنوان ژورنال: Journal of Difference Equations and Applications
سال: 2015
ISSN: 1023-6198,1563-5120
DOI: 10.1080/10236198.2015.1024671