磁输运问题中一类双曲函数族的本影性质

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL Reports on Mathematical Physics Pub Date : 2023-08-01 DOI:10.1016/S0034-4877(23)00053-8

Giuseppe Dattoli , Subuhi Khan , Mehnaz Haneef , Silvia Licciardi

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引用次数: 0

摘要

本影运算技术为研究特殊函数和特殊多项式提供了坚实的机制。利用本影演算的方法推导了类指数函数族及其双曲形式的性质。利用米塔格-莱弗勒函数的广义形式，求解了带电束流在电磁磁铁中的输运技术问题。与标准计算技术相比，该方法具有灵活性和许多优点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On umbral properties of a family of hyperbolic-like functions appearing in magnetic transport problem

Umbral operational techniques offer sturdy mechanism in the studies of special functions and special polynomials. The techniques of umbral calculus are employed to derive properties of families of exponential-like functions and their hyperbolic forms. The generalized forms of Mittag-Leffler functions are used to solve technical problems concerning transport of a charged beam in a solenoid magnet. The proposed method is flexible and has many advantages over standard computational techniques.

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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.