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The Ramanujan Journal
Article . 1999 . Peer-reviewed
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Finite Differences and Orthogonal Polynomials

Finite differences and orthogonal polynomials
descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1999 English Publisher:Springer Science and Business Media LLCJournal:The Ramanujan Journal, volume 3, pages 83-89 (issn: 1382-4090, eissn: 1572-9303, Copyright policy )
Authors: CHU, Wenchang;

doi: 10.1023/a:1009817409912

handle: 11587/369152

Finite Differences and Orthogonal Polynomials

Abstract

By combining finite differences with symmetric functions, we present an elementary demonstration for the limit relation from Laguerre to Hermite polynomials, proposed by Richard Askey. Another limit relation between these two polynomials is also established.

Related Organizations
Keywords

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Symmetric functions and generalizations, ORTHOGONAL POLYNOMIALS

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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!
5
Average
Top 10%
Average
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