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Symmetry, Integrability and Geometry: Methods and Applications, 2019, Volume 15, 005, 6 pp.
DOI: https://doi.org/10.3842/SIGMA.2019.005 (Mi sigma1441) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Solution of an Open Problem about Two Families of Orthogonal Polynomials

Walter Van Assche

Department of Mathematics, KU Leuven, Belgium
Full-text PDF (281 kB) Citations (10)
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DOI: https://doi.org/10.3842/SIGMA.2019.005
Abstract: An open problem about two new families of orthogonal polynomials was posed by Alhaidari. Here we will identify one of them as Wilson polynomials. The other family seems to be new but we show that they are discrete orthogonal polynomials on a bounded countable set with one accumulation point at $0$ and we give some asymptotics as the degree tends to infinity.
Keywords: orthogonal polynomials; special functions; open problems.
Funding agency Grant number
EOS PRIMA 30889451
Fonds Wetenschappelijk Onderzoek G.086416N
WVA is supported by EOS project PRIMA 30889451 and FWO research project G.086416N.
Received: January 18, 2019; Published online January 27, 2019
Bibliographic databases:
Document Type: Article
MSC: 42C05; 33A45
Language: English
Citation: Walter Van Assche, “Solution of an Open Problem about Two Families of Orthogonal Polynomials”, SIGMA, 15 (2019), 005, 6 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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