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Some identities of the degenerate Bernoulli polynomials of the second kind arising from λ-Sheffer sequences

Authors
Park, J.-W.Kim, B.M.Kwon, J.
Issue Date
2021
Publisher
Jangjeon Research Institute for Mathematical Sciences and Physics
Keywords
The degenerate Bernoulli polynomials of the second kind; Umbral calculus; λ-Sheffer sequences
Citation
Proceedings of the Jangjeon Mathematical Society, v.24, no.3, pp 323 - 342
Pages
20
Indexed
SCOPUS
KCI
Journal Title
Proceedings of the Jangjeon Mathematical Society
Volume
24
Number
3
Start Page
323
End Page
342
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/5523
DOI
10.17777/pjms2021.24.3.323
ISSN
1598-7264
Abstract
Korobov introduced the first degenerate version of the Bernoulli polynomials of the second kind called Bernoulli polynomials of the second kind. Recently, degenerate versions of such polynomials as Bernoulli polynomials, Euler polynomials and Genocchi polynomials and so on were introduced by the many researchers. The aim of this paper is to represent the degenerate Bernoulli polynomials of the second kind by other polynomials using the λ-umbral calculus. ? 2021 Jangjeon Research Institute for Mathematical Sciences and Physics. All rights reserved.
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