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Expansions in Askey–Wilson polynomials via Bailey transform

Expansions in Askey-Wilson polynomials via Bailey transform
descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2017 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 452, pages 1,082-1,100 (issn: 0022-247X, Copyright policy )Funded by:ANR | Avenir L.S.E., ANR | MILYON
Authors: Jia, Zeya; Zeng, Jiang;

doi: 10.1016/j.jmaa.2017.03.056

Expansions in Askey–Wilson polynomials via Bailey transform

Abstract

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Keywords

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Askey-Wilson polynomials, Bressoud inversion, Bailey transform, [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA], MSC (2010): 33D45, 510, 004, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), [MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM], 33D05, Nassrallah-Rahman integral, expansion formulae, 05A15, Andrews formula

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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
Top 10%
Average
Average
Green
hybrid