Connection formulas for general discrete Sobolev polynomials: Mehler–Heine asymptotics

A. Peña and M.L. Rezola

Applied Mathematics and Computation, 2015, vol. 261, issue C, 216-230

Abstract: In this paper the discrete Sobolev inner product 〈p,q〉=∫p(x)q(x)dμ+∑i=0rMip(i)(c)q(i)(c)is considered, where μ is a finite positive Borel measure supported on an infinite subset of the real line, c∈R and Mi ≥ 0, i = 0, 1, …, r.

Keywords: Discrete Sobolev polynomials; Connection formulas; Mehler–Heine type formulas; Bessel functions; Asymptotic zero distribution (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315003987
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:261:y:2015:i:c:p:216-230

DOI: 10.1016/j.amc.2015.03.084

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().