d-orthogonality of a generalization of both Laguerre and Hermite polynomials

被引：3

作者：

Blel, Mongi ^{[2
]}

Ben Cheikh, Youssef ^{[1
]}

机构：

[1] Univ Monastir, Fac Sci, Dept Math, Monastir 5019, Tunisia

[2] King Saud Univ, Coll Sci, Dept Math, BP 2455, Riyadh 11451, Saudi Arabia

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2020年 / 27卷 / 02期

关键词：

Hermite polynomials; Laguerre polynomials; d-orthogonal polynomials; generalized hypergeometric polynomials; generating functions; m-symmetric polynomial set; dual sequence; Hahn-classical d-orthogonal polynomials; GENERATING-FUNCTIONS;

D O I：

10.1515/gmj-2018-0043

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we give a unification and generalization of Laguerre and Hermite polynomials for which the orthogonal property is replaced by d-orthogonality. We state some properties of these new polynomials.

引用

页码：183 / 190

页数：8

共 50 条

[21] Orthogonality properties of the Hermite and related polynomials
Dattoli, G
Srivastava, HM
Zhukovsky, K
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 182 (01) : 165 - 172
[22] A q-generalization of the Toda equations for the q-Laguerre/Hermite orthogonal polynomials
Chan, Chuan-Tsung
Liu, Hsiao-Pan
RANDOM MATRICES-THEORY AND APPLICATIONS, 2018, 7 (04)
[23] A GENERALIZATION OF LAGUERRE-POLYNOMIALS
KOEKOEK, R
MEIJER, HG
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1993, 24 (03) : 768 - 782
[24] LAGUERRE AND HERMITE POLYNOMIALS IN 2 VARIABLES
PARASHAR, BP
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 1967, 37 : 41 - &
[25] ASSOCIATED LAGUERRE AND HERMITE-POLYNOMIALS
ASKEY, R
WIMP, J
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1984, 96 : 15 - 37
[26] Pseudo Laguerre and pseudo Hermite polynomials
Dattoli, Giuseppe
Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni, 2001, 12 (02): : 75 - 84
[27] Sobolev orthogonality and properties of the generalized Laguerre polynomials
Perez, TE
Pinar, MA
ORTHOGONAL FUNCTIONS, MOMENT THEORY, AND CONTINUED FRACTIONS: THEORY AND APPLICATIONS, 1998, 199 : 375 - 385
[28] A NOTE ON SOBOLEV ORTHOGONALITY FOR LAGUERRE MATRIX POLYNOMIALS
Zhihui Zhu and Zhongkai Li (Capital Normal University
AnalysisinTheoryandApplications, 2007, (01) : 26 - 34
[29] THE ORTHOGONALITY PROPERTY OF THE CLASSICAL LAGUERRE-POLYNOMIALS
RASSIAS, TM
SRIVASTAVA, HM
APPLIED MATHEMATICS AND COMPUTATION, 1992, 50 (2-3) : 167 - 173
[30] Asymptotics for a generalization of Hermite polynomials
Alfaro, Manuel
Pena, Ana
Rezola, M. Luisa
Jose Moreno-Balcazar, Juan
ASYMPTOTIC ANALYSIS, 2010, 66 (02) : 103 - 117

← 1 2 3 4 5 →