Asymptotics for varying discrete Sobolev orthogonal polynomials

Asymptotics for varying discrete Sobolev orthogonal polynomials

We consider a varying discrete Sobolev inner product such as $$(f,g)_S=\int f(x)g(x)d \mu+M_nf^{(j)}(c)g^{(j)}(c),$$ where $\mu$ is a finite positive Borel measure supported on an infinite subset of the real line, $c$ is adequately located on the real axis, $j \geq0,$ and $\{M_n\}_{n\geq0}$ is a...

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Main Authors:	Mañas Mañas, Juan Francisco, Marcellán Español, Francisco, Moreno Balcázar, Juan José
Format:	info:eu-repo/semantics/article
Sprog:	English
Udgivet:	2024
Fag:	Sobolev orthogonal polynomials Mehler–Heine formulae Asymptotics Zeros
Online adgang:	http://hdl.handle.net/10835/15008

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