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Advances in Mathematics
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Advances in Mathematics
Article . 1996
License: Elsevier Non-Commercial
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Advances in Mathematics
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Interpolation for Symmetric Functions

Interpolation for symmetric functions
Authors: Chen, William Y.C.; Louck, James D.;

Interpolation for Symmetric Functions

Abstract

This paper contains two main results. First the paper establishes an interpolation formula for a symmetric function in \(k\) variables which reduces to the classical Lagrange interpolation formula if \(k=1\). Second the authors provide a simple derivation of an identity of \textit{R. A. Gustafson} and \textit{S. C. Milne} [Adv. Math. 48, 177-188 (1983; Zbl 0516.33015)] on Schur symmetric functions.

Related Organizations
Keywords

Mathematics(all), Symmetric functions and generalizations, Lagrange interpolation, symmetric function, Schur symmetric functions, Interpolation in approximation theory, Numerical methods for discrete and fast Fourier transforms

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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!
17
Top 10%
Top 10%
Average
hybrid