退化Bell和Dowling多项式的spivey型递推关系

IF 1.5 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2025-07-29 DOI:10.1134/S1061920825020074

T. Kim, D. S. Kim

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引用次数: 0

摘要

Spivey给出了第二类斯特林数和的贝尔数的递推关系。最近研究了退化Bell多项式和退化Dowling多项式，它们的系数分别为退化第二类Stirling数和退化第二类Whitney数。本文的目的是证明这些多项式的spivey型递推关系。此外，对于退化\(r\) -Bell多项式，显示了相同类型的递推关系。Doi 10.1134/ s1061920825020074

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Spivey-Type Recurrence Relations for Degenerate Bell and Dowling Polynomials

Spivey showed a recurrence relation for the Bell numbers which are sums of the Stirling numbers of the second kind. Recently, the degenerate Bell polynomials and the degenerate Dowling polynomials were studied, whose coefficients are, respectively, the degenerate Stirling numbers of the second kind and the degenerate Whitney numbers of the second kind. The aim of this paper is to prove Spivey-type recurrence relations for those polynomials. In addition, a recurrence relation of the same type is shown for the degenerate \(r\)-Bell polynomials.

DOI 10.1134/S1061920825020074

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来源期刊

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.