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A result on common zeros location of orthogonal polynomials in two variables

Authors: Luo, Zhongxuan; Meng, Zhaoliang;

A result on common zeros location of orthogonal polynomials in two variables

Abstract

The short note deals with important problem of locating common zeros of two variables orthogonal polynomials in a given region \(D\subset\mathbb{R}\times \mathbb{R}\). The result obtained here is quite useful in case of orthogonal polynomials of two variables.

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Keywords

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), orthogonality in two variables, Orthogonal polynomials of two variables, Invariant factors, Applied Mathematics, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, zeros of orthogonal polynomials, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Common zeros location, Analysis, invariant factors

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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!
3
Average
Top 10%
Average
hybrid