Article ID: MTJPAM-D-20-00047

Title: A Note on Reciprocal Degenerate Bell Numbers and Polynomials


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-20-00047; Volume 3 / Issue 3 / Year 2021 (Special Issue), Pages 140-146

Document Type: Research Paper

Author(s): Taekyun Kim a , Dae San Kim b

aDepartment of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea

bDepartment of Mathematics, Sogang University, Seoul 121-742, Republic of Korea

Received: 17 December 2020, Accepted: 12 January 2021, Published: 25 April 2021.

Corresponding Author: Dae San Kim (Email address: dskim@sogang.ac.kr)

Full Text: PDF

Abstract

Recently, degenerate Bell numbers and polynomials were introduced as degenerate versions of the ordinary Bell numbers and polynomials. In this paper, we consider reciprocal degenerate Bell numbers and polynomials whose generating function is the reciprocal of that of the degenerate Bell polynomials. We investigate some properties for those numbers and polynomials, including their explicit expressions, recurrence relations and their connections with the degenerate Bell numbers and polynomials.

Keywords: Reciprocal degenerate Bell polynomials, Degenerate Bell polynomials, Degenerate Stirling numbers of the first kind, Degenerate Stirling numbers of the second kind

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