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Methods and Applications of Analysis
Article
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Methods and Applications of Analysis
Article . 1995 . Peer-reviewed
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https://dx.doi.org/10.4310/maa...
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Nonnegative linearization of the associated $g$-ultraspherical polynomials

Nonnegative linearization of the associated \(q\)-ultraspherical polynomials
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1995 English Publisher:International Press of BostonJournal:Methods and Applications of Analysis, volume 2, pages 399-407 (issn: 1073-2772, eissn: 1945-0001, Copyright policy )
Authors: Szwarc, Ryszard;

doi: 10.4310/maa.1995.v2.n4.a2

Nonnegative linearization of the associated $g$-ultraspherical polynomials

Abstract

Nonnegative product linearization of the associated continuous \(q\)-ultraspherical polynomials is shown for all values \(-1< q<1\). This is obtained by applying new criteria for nonnegative product linearization of orthogonal polynomials.

Keywords

nonnegative linearization, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Difference operators, \(q\)-ultrasperical polynomials

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Top 10%
Average
bronze