完全退化道林多项式与数的一些恒等式

IF 1.3 4区数学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Discrete Dynamics in Nature and Society Pub Date : 2023-11-14 DOI:10.1155/2023/5460608

Lingling Luo, Yuankui Ma, Wencong Liu, Taekyun Kim

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引用次数: 0

摘要

最近，Kim-Kim引入了涉及简并Dowling多项式和数的第一类和第二类简并Whitney数。本文介绍了完全简并道林多项式和完全简并贝尔多项式，并推导了它们的一些恒等式。得到了完全简并Dowling多项式、完全简并Bell多项式及其他特殊多项式和数的生成函数、表达式和递归关系。

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Some Identities of Fully Degenerate Dowling Polynomials and Numbers

Recently, Kim-Kim introduced the degenerate Whitney numbers of the first and second kind involving the degenerate Dowling polynomials and numbers. In this paper, we introduce the fully degenerate Dowling polynomials and the fully degenerate Bell polynomials and derive some identities involving these polynomials. We also obtain the generating functions, expressions, and recurrence relations for the fully degenerate Dowling polynomials and the fully degenerate Bell polynomials and other special polynomials and numbers.

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来源期刊

Discrete Dynamics in Nature and Society 综合性期刊-数学跨学科应用

CiteScore

3.00

自引率

0.00%

发文量

598

审稿时长

3 months

期刊介绍： The main objective of Discrete Dynamics in Nature and Society is to foster links between basic and applied research relating to discrete dynamics of complex systems encountered in the natural and social sciences. The journal intends to stimulate publications directed to the analyses of computer generated solutions and chaotic in particular, correctness of numerical procedures, chaos synchronization and control, discrete optimization methods among other related topics. The journal provides a channel of communication between scientists and practitioners working in the field of complex systems analysis and will stimulate the development and use of discrete dynamical approach.