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Representations of modified type 2 degenerate poly-Bernoulli polynomialsopen access

Authors
Kwon, JongkyumWongsason, PatchareeKim, YunjaeKim, Dojin
Issue Date
2022
Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
Keywords
degenerate polyexponential functions; degenerate poly-Bernoulli polynomials; lambda-linear functionals; lambda-Sheffer sequences
Citation
AIMS MATHEMATICS, v.7, no.6, pp 11443 - 11463
Pages
21
Indexed
SCIE
SCOPUS
Journal Title
AIMS MATHEMATICS
Volume
7
Number
6
Start Page
11443
End Page
11463
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/2754
DOI
10.3934/math.2022638
ISSN
2473-6988
2473-6988
Abstract
Research on the degenerate versions of special polynomials provides a new area, introducing the lambda-analogue of special polynomials and numbers, such as lambda-Sheffer polynomials. In this paper, we propose a new variant of type 2 Bernoulli polynomials and numbers by modifying a generating function. Then we derive explicit expressions and their representations that provide connections among existing lambda-Sheffer polynomials. Also, we provide the explicit representations of the proposed polynomials in terms of the degenerate Lah-Bell polynomials and the higher-order degenerate derangement polynomials to confirm the presented identities.
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