与厄米特多项式相关的李代数表示和杂化族

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Reports on Mathematical Physics Pub Date : 2024-12-01 DOI:10.1016/S0034-4877(24)00083-1

Subuhi Khan, Mahammad Lal Mia, Mahvish Ali

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引用次数: 0

摘要

本文将贝塞尔函数和Tricomi函数与阿佩尔多项式结合，引入了阿佩尔-贝塞尔函数族和阿佩尔- Tricomi函数族。2变量2参数Hermite-Bessel和Hermite-Tricomi函数被认为是这些族的成员，并被框架在李代数T3的表示中。因此，导出了这些函数的隐式求和公式。还考虑了某些例子。本文最后用Weisner的方法推导了涉及2变量2参数Hermite-Tricomi函数的关系。

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Lie algebra representation and hybrid families related to Hermite polynomials

In this article, the Bessel and Tricomi functions are combined with Appell polynomials to introduce the families of Appell–Bessel and Appell–Tricomi functions. The 2-variable 2-parameter Hermite–Bessel and Hermite–Tricomi functions are considered as members of these families, and framed within the representation of the Lie algebra T3. Consequently, the implicit summation formulae for these functions are derived. Certain examples are also considered. The article concludes with the derivation of a relation involving the 2-variable 2-parameter Hermite–Tricomi functions by following the Weisner's approach.

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来源期刊

Reports on Mathematical Physics 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.