Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4668580 | Arab Journal of Mathematical Sciences | 2013 | 14 Pages |
Abstract
In this paper, we consider the asymptotic behavior of the sequence of monic polynomials orthogonal with respect to the Sobolev inner product〈p,q〉S=∫0∞p(x)q(x)dμ+Mp(m)(ζ)q(m)(ζ),where ζ < 0, M ⩾ 0 and dμ = e−xxαdx. We study the outer relative asymptotics of these polynomials with respect to the classical Laguerre polynomials, and we deduce a Mehler–Heine type formula and a Plancherel–Rotach type formula for the rescaled polynomials.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Luis Alejandro Molano Molano,