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2018•Russian Journal of Mathematical PhysicsRequires access

Degenerate r-Stirling Numbers and r-Bell Polynomials

T. Kim, Yonghong Yao, Dae San Kim, Gwan-Woo Jang

Open publisher page 62 citations

Abstract

The purpose of this paper is to exploit umbral calculus in order to derive some properties, recurrence relations, and identities related to the degenerate r -Stirling numbers of the second kind and the degenerate r -Bell polynomials. Especially, we will express the degenerate r -Bell polynomials as linear combinations of many well-known families of special polynomials.

About this research paper

What this paper is about

The purpose of this paper is to exploit umbral calculus in order to derive some properties, recurrence relations, and identities related to the degenerate r -Stirling numbers of the second kind and the degenerate r -Bell polynomials. Especially, we will express the degenerate r -Bell polynomials as linear combinations of many well-known families of special polynomials.

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OpenAlex reports 62 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The purpose of this paper is to exploit umbral calculus in order to derive some properties, recurrence relations, and identities related to the degenerate r -Stirling numbers of the second kind and the degenerate r -Bell polynomials. Especially, we will express the degenerate r -Bell polynomials as linear combinations of many well-known families of special polynomials.

Key concepts: Bell polynomials, Degenerate energy levels, Stirling number, Mathematics, Stirling numbers of the second kind, Pure mathematics, Stirling numbers of the first kind, Order (exchange)

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