Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials

Diego Dominici; Juan José Moreno Balcázar

Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials

Diego Dominici
, Juan José Moreno Balcázar

Research Institute for Symbolic Computation

Research output: Working paper and reports › Preprint

Abstract

In this paper we tackle the asymptotic behaviour of a family of orthogonal polynomials with respect to a nonstandard inner product involving the forward operator $Delta$. Concretely, we treat the generalized Charlier weights in the framework of $Delta$--Sobolev orthogonality. We obtain an asymptotic expansion for this orthogonal polynomials where the falling factorial polynomials play an important role.

Original language	English
Place of Publication	Hagenberg, Linz
Publisher	RISC, JKU
Number of pages	18
Publication status	Published - Nov 2022

Publication series

Name	RISC Report Series
No.	22-16

Fields of science

101 Mathematics
101001 Algebra
101005 Computer algebra
101009 Geometry
101012 Combinatorics
101013 Mathematical logic
101020 Technical mathematics

JKU Focus areas

Digital Transformation

Cite this

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abstract = "In this paper we tackle the asymptotic behaviour of a family of orthogonal polynomials with respect to a nonstandard inner product involving the forward operator \$Delta\$. Concretely, we treat the generalized Charlier weights in the framework of \$Delta\$--Sobolev orthogonality. We obtain an asymptotic expansion for this orthogonal polynomials where the falling factorial polynomials play an important role.",

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T1 - Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials

AU - Dominici, Diego

AU - Moreno Balcázar, Juan José

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N2 - In this paper we tackle the asymptotic behaviour of a family of orthogonal polynomials with respect to a nonstandard inner product involving the forward operator $Delta$. Concretely, we treat the generalized Charlier weights in the framework of $Delta$--Sobolev orthogonality. We obtain an asymptotic expansion for this orthogonal polynomials where the falling factorial polynomials play an important role.

AB - In this paper we tackle the asymptotic behaviour of a family of orthogonal polynomials with respect to a nonstandard inner product involving the forward operator $Delta$. Concretely, we treat the generalized Charlier weights in the framework of $Delta$--Sobolev orthogonality. We obtain an asymptotic expansion for this orthogonal polynomials where the falling factorial polynomials play an important role.

M3 - Preprint

T3 - RISC Report Series

BT - Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials

PB - RISC, JKU

CY - Hagenberg, Linz

ER -