New Summation and Integral Representations for 2-Variable (p,q)-Hermite Polynomials

被引：4
|
作者：
Raza, Nusrat [1 ]
Fadel, Mohammed [2 ]
Du, Wei-Shih [3 ]
机构：
[1] Aligarh Muslim Univ, Womens Coll, Math Sect, Aligarh 202002, India
[2] Lahej Univ, Dept Math, Lahej 73560, Yemen
[3] Natl Kaohsiung Normal Univ, Dept Math, Kaohsiung 82444, Taiwan
来源：
AXIOMS | 2024年 / 13卷 / 03期
关键词：
(p; q)-calculus; 2-variable; q)-Hermite polynomials; shift operator for polynomials; q)-differential equation summation formulas; integral representations; (P;
D O I：
10.3390/axioms13030196
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce and study new features for 2-variable (p,q)-Hermite polynomials, such as the (p,q)-diffusion equation, (p,q)-differential formula and integral representations. In addition, we establish some summation models and their (p,q)-derivatives. Certain parting remarks and nontrivial examples are also provided.
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页数：14
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