从本体角度看赫米特和拉盖尔贝塞尔函数理论

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED Applied Mathematics and Computation Pub Date : 2025-03-01 Epub Date: 2024-10-10 DOI:10.1016/j.amc.2024.129103

M. Artioli , G. Dattoli , U. Zainab

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引用次数: 0

摘要

通过本构重述，研究了特殊函数混合族的理论基础。我们的讨论涵盖了贝塞尔型函数和特殊多项式的各种族，它们都位于统一的本构-代数形式主义中。所提出的方法利用了最近在高超函数形式处理方面取得的进展，实现了新颖而有趣的概括。

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Theory of Hermite and Laguerre Bessel function from the umbral point of view

The theoretical underpinnings of hybrid families of special functions are examined through an umbral reformulation. Our discussion encompasses diverse families of Bessel-type functions and special polynomials, all situated within a unifying umbral-algebraic formalism. The method presented capitalizes on recent advancements in the formal treatment of higher transcendental functions, enabling novel and intriguing generalizations.

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.