A NOTE ON DISCRETE CLASSICAL ORTHOGONAL POLYNOMIALS

Baghdadi Aloui; Jihad Souissi; Wathek Chammam

doi:10.46793/KgJMat2606.931A

A NOTE ON DISCRETE CLASSICAL ORTHOGONAL POLYNOMIALS

Baghdadi Aloui^*
, Jihad Souissi
, Wathek Chammam

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We introduce the concept of D_w,p-classical orthogonal polynomials, where D_w,p is the lowering operator given by D_w,p [formula presented] w - p, w, p ∈ N, with τ_-w f(x) := f(x + w). We conclude that these polynomials are the shifted discrete classical orthogonal polynomials.

Original language	English
Pages (from-to)	931-939
Number of pages	9
Journal	Kragujevac Journal of Mathematics
Volume	50
Issue number	6
DOIs	https://doi.org/10.46793/KgJMat2606.931A
State	Published - 2026
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2026, University of Kragujevac, Faculty of Science. All rights reserved.

Keywords

Orthogonal polynomials
linear functionals
lowering operator

ASJC Scopus subject areas

General Mathematics

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10.46793/KgJMat2606.931A

Cite this

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title = "A NOTE ON DISCRETE CLASSICAL ORTHOGONAL POLYNOMIALS",

abstract = "We introduce the concept of Dw,p-classical orthogonal polynomials, where D\_w,p is the lowering operator given by Dw,p [formula presented] w - p, w, p ∈ N, with τ-w f(x) := f(x + w). We conclude that these polynomials are the shifted discrete classical orthogonal polynomials.",

keywords = "Orthogonal polynomials, linear functionals, lowering operator",

author = "Baghdadi Aloui and Jihad Souissi and Wathek Chammam",

year = "2026",

doi = "10.46793/KgJMat2606.931A",

language = "English",

volume = "50",

pages = "931--939",

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T1 - A NOTE ON DISCRETE CLASSICAL ORTHOGONAL POLYNOMIALS

AU - Aloui, Baghdadi

AU - Souissi, Jihad

AU - Chammam, Wathek

PY - 2026

Y1 - 2026

N2 - We introduce the concept of Dw,p-classical orthogonal polynomials, where D_w,p is the lowering operator given by Dw,p [formula presented] w - p, w, p ∈ N, with τ-w f(x) := f(x + w). We conclude that these polynomials are the shifted discrete classical orthogonal polynomials.

AB - We introduce the concept of Dw,p-classical orthogonal polynomials, where D_w,p is the lowering operator given by Dw,p [formula presented] w - p, w, p ∈ N, with τ-w f(x) := f(x + w). We conclude that these polynomials are the shifted discrete classical orthogonal polynomials.

KW - Orthogonal polynomials

KW - linear functionals

KW - lowering operator

UR - https://www.scopus.com/pages/publications/105043952726

U2 - 10.46793/KgJMat2606.931A

DO - 10.46793/KgJMat2606.931A

M3 - Article

AN - SCOPUS:105043952726

SN - 1450-9628

VL - 50

SP - 931

EP - 939

JO - Kragujevac Journal of Mathematics

JF - Kragujevac Journal of Mathematics

IS - 6

ER -

A NOTE ON DISCRETE CLASSICAL ORTHOGONAL POLYNOMIALS

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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