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Notices of the American Mathematical Society.
Article . 2016 . Peer-reviewed
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Notices of the American Mathematical Society.
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https://dx.doi.org/10.48550/ar...
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WHAT IS...A Multiple Orthogonal Polynomial?

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Oct 2016Embargo end date: 01 Jan 2017 English Publisher:American Mathematical Society (AMS)Journal:Notices of the American Mathematical Society, volume 63, pages 1,029-1,031 (issn: 0002-9920, eissn: 1088-9477, Copyright policy )
Authors: Martínez-Finkelshtein, A.; Van Assche, W.;

doi: 10.1090/noti1430 , 10.48550/arxiv.1707.09511

arXiv: http://arxiv.org/abs/1707.09511

WHAT IS...A Multiple Orthogonal Polynomial?

Abstract

This is an extended version of our note in the Notices of the American Mathematical Society 63 (2016), no. 9, in which we explain what multiple orthogonal polynomials are and where they appear in various applications.

5 pages, 2 figures

Related Organizations
Keywords

Mathematics - Classical Analysis and ODEs, General Mathematics, 4904 Pure mathematics, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 33C45, 42C05, 41A21, 60B20, 11J72,, math.CA, multiple orthogonal polynomials, 0101 Pure Mathematics

  • BIP!
    Impact byBIP!
    citations
    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).
    		 19
    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.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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citations
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!
19
Top 10%
Top 10%
Average
Green
gold