退化无序多项式的λ-本影演算研究

IF 2 3区数学 Q1 MATHEMATICS

Demonstratio Mathematica Pub Date : 2023-01-01 DOI:10.1515/dema-2022-0240

S. Yun, Jin-Woo Park

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引用次数: 0

摘要

摘要在20世纪70年代，Rota开始基于相对现代的线性函数和线性算子的思想，为本影微积分理论建立完全刚性的基础。从那时起，本影演算就被用于研究各个领域的特殊函数。在本文中，我们利用Kim Kim定义的λλ-Sheffer序列和λλ-本影演算，导出了一些与退化无序多项式和一些特殊多项式有关的新的有趣的恒等式（Degenate Sheffer sequences andλλ-Sheffer se序，J.Math.Anal.Appl.493（2021），12452121pp）。

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Study of degenerate derangement polynomials by λ-umbral calculus

Abstract In the 1970s, Rota began to build completely rigid foundations for the theory of umbral calculus based on relatively modern ideas of linear functions and linear operators. Since then, umbral calculus has been used in the study of special functions in various fields. In this article, we derive some new and interesting identities related to degenerate derangement polynomials and some special polynomials by using λ \lambda -Sheffer sequences and λ \lambda -umbral calculus, which are defined by Kim-Kim (Degenerate Sheffer sequences and λ \lambda -Sheffer sequences, J. Math. Anal. Appl. 493 (2021), 124521, 21pp).

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来源期刊

Demonstratio Mathematica MATHEMATICS-

CiteScore

2.40

自引率

5.00%

发文量

审稿时长

35 weeks

期刊介绍： Demonstratio Mathematica publishes original and significant research on topics related to functional analysis and approximation theory. Please note that submissions related to other areas of mathematical research will no longer be accepted by the journal. The potential topics include (but are not limited to): -Approximation theory and iteration methods- Fixed point theory and methods of computing fixed points- Functional, ordinary and partial differential equations- Nonsmooth analysis, variational analysis and convex analysis- Optimization theory, variational inequalities and complementarity problems- For more detailed list of the potential topics please refer to Instruction for Authors. The journal considers submissions of different types of articles. "Research Articles" are focused on fundamental theoretical aspects, as well as on significant applications in science, engineering etc. “Rapid Communications” are intended to present information of exceptional novelty and exciting results of significant interest to the readers. “Review articles” and “Commentaries”, which present the existing literature on the specific topic from new perspectives, are welcome as well.