On the Two-Variable Analogue Matrix of Bessel Polynomials and Their Properties

被引：1

作者：

Bakhet, Ahmed ^{[1
]}

Hussain, Shahid ^{[1
]}

Niyaz, Mohamed ^{[2
]}

Zakarya, Mohammed ^{[3
]}

Alnemer, Ghada ^{[4
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

[2] Al Azhar Univ, Fac Sci, Dept Math, Assiut 71524, Egypt

[3] King Khalid Univ, Coll Sci, Dept Math, POB 9004, Abha 61413, Saudi Arabia

[4] Princess Nourah bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 105862, Riyadh 11656, Saudi Arabia

来源：

AXIOMS | 2024年 / 13卷 / 03期

关键词：

matrix Bessel polynomials; recurrence relations; integral representations; Laplace-Carson transform; LINEARIZATION COEFFICIENTS;

D O I：

10.3390/axioms13030202

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we explore a study focused on a two-variable extension of matrix Bessel polynomials. We initiate the discussion by introducing the matrix Bessel polynomials involving two variables and derive specific differential formulas and recurrence relations associated with them. Additionally, we present a segment detailing integral formulas for the extended matrix Bessel polynomials. Lastly, we introduce the Laplace-Carson transform for the two-variable matrix Bessel polynomial analogue.

引用

页数：15

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