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SIAM Journal on Mathematical Analysis
Article . 1977 . Peer-reviewed
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https://dx.doi.org/10.1137/050...
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The Addition Formula for Laguerre Polynomials

The addition formula for Laguerre polynomials
descriptionPublicationkeyboard_double_arrow_right Article 01 May 1977 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 8, pages 535-540 (issn: 0036-1410, eissn: 1095-7154, Copyright policy )
Authors: Koornwinder, Tom;

doi: 10.1137/0508041

The Addition Formula for Laguerre Polynomials

Abstract

Bateman’s addition formula for Laguerre polynomials of order zero is generalized to the case of order $\alpha > 0$. The result is obtained as a limit case of the addition formula for disk polynomials.

Keywords

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

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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!
21
Average
Top 10%
Average
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