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

[41] Properties and applications of the Gould-Hopper-Frobenius-Euler polynomials
Wani, Shahid Ahmad
Khan, Subuhi
TBILISI MATHEMATICAL JOURNAL, 2019, 12 (01) : 93 - 104
[42] Investigating the Properties and Dynamic Applications of Δh Legendre-Appell Polynomials
Alam, Noor
Wani, Shahid Ahmad
Khan, Waseem Ahmad
Zaidi, Hasan Nihal
MATHEMATICS, 2024, 12 (13)
[43] A note on multi-index polynomials of Dickson type and their applications in quantum optics
Dattoli, G
Ricci, PE
Cesarano, C
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 145 (02) : 417 - 424
[44] Exploring Properties and Applications of Laguerre Special Polynomials Involving the Δh Form
Alam, Noor
Wani, Shahid Ahmad
Khan, Waseem Ahmad
Gassem, Fakhredine
Altaleb, Anas
SYMMETRY-BASEL, 2024, 16 (09):
[45] Quasi-monomiality and operational identities for Laguerre Konhauser-type matrix polynomials and their applications
Bin-Saad, Maged G.
Mohsen, Fadhle B. F.
ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2018, 22 (01): : 13 - 22
[46] A change of variable formula with applications to multi-dimensional optimal stopping problems
Cai, Cheng
De Angelis, Tiziano
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2023, 164 : 33 - 61
[47] Explicit Properties of Apostol-Type Frobenius-Euler Polynomials Involving q-Trigonometric Functions with Applications in Computer Modeling
Rao, Yongsheng
Khan, Waseem Ahmad
Araci, Serkan
Ryoo, Cheon Seoung
MATHEMATICS, 2023, 11 (10)

← 1 2 3 4 5 →