Multi-variable Hermite matrix polynomials: Properties and applications

被引：8

作者：

Khan, Subuhi ^{[1
]}

Al-Gonah, Ahmed Ali ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 412卷 / 01期

关键词：

Hermite matrix polynomials; Operational representations; Expansion formulae; GENERALIZED POLYNOMIALS; OPERATIONAL IDENTITIES; GENERATING-FUNCTIONS; EXTENSION; FAMILIES;

D O I：

10.1016/j.jmaa.2013.10.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the multi-variable Hermite matrix polynomials are introduced by algebraic decomposition of exponential operators. Their properties are established using operational methods. The matrix forms of the Chebyshev and truncated polynomials of two variable are also introduced, which are further used to derive certain operational representations and expansion formulae. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：222 / 235

页数：14

共 47 条

[1] GENERALIZATION OF MULTI-VARIABLE MODIFIED HERMITE MATRIX POLYNOMIALS AND ITS APPLICATIONS
Singh, Virender
Khan, Mumtaz Ahmad
Khan, Abdul Hakim
HONAM MATHEMATICAL JOURNAL, 2020, 42 (02): : 269 - 291
[2] Two variable Modified Hermite Matrix polynomials properties and its applications
Singh, Virender
Sharma, Archna
Khan, Abdul Hakim
PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON FRONTIERS IN INDUSTRIAL AND APPLIED MATHEMATICS (FIAM-2019), 2020, 2253
[3] SOME PROPERTIES ASSOCIATED WITH HERMITE MATRIX POLYNOMIALS
Altin, Abdullah
Cekim, Bayram
UTILITAS MATHEMATICA, 2012, 88 : 171 - 181
[4] A new extension of Hermite matrix polynomials and its applications
Batahan, Raed S.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 419 (01) : 82 - 92
[5] Some applications of the Hermite matrix polynomials series expansions
Defez, E
Jodar, L
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 99 (1-2) : 105 - 117
[6] ON HERMITE-HERMITE MATRIX POLYNOMIALS
Metwally, M. S.
Mohamed, M. T.
Shehata, A.
MATHEMATICA BOHEMICA, 2008, 133 (04): : 421 - 434
[7] OPERATIONAL IDENTITIES FOR HERMITE-PSEUDO LAGUERRE TYPE MATRIX POLYNOMIALS AND THEIR APPLICATIONS
Bin-Saad, Maged G.
Pathan, M. A.
HONAM MATHEMATICAL JOURNAL, 2019, 41 (01): : 35 - 49
[8] Hermite-based Appell polynomials: Properties and applications
Khan, Subuhi
Yasmin, Ghazala
Khan, Rehana
Hassan, Nader Ali Makboul
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 351 (02) : 756 - 764
[9] ON PSEUDO HERMITE MATRIX POLYNOMIALS OF TWO VARIABLES
Metwally, M. S.
Mohamed, M. T.
Shehata, A.
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2010, 4 (02): : 169 - 178
[10] Bounding Hermite matrix polynomials
Defez, E
Hervás, A
Jódar, L
MATHEMATICAL AND COMPUTER MODELLING, 2004, 40 (1-2) : 117 - 125

← 1 2 3 4 5 →