SOME IDENTITIES OF FULLY DEGENERATE DOWLING AND FULLY DEGENERATE BELL POLYNOMIALS ARISING FROM λ-UMBRAL CALCULUS

Yuankui Ma, Taekyun Kim, Hyunseok Lee and Dae San Kim
Additional contact information
Yuankui Ma: School of Science, Xi’an Technological University, Xi’an, Shaanxi, 710021, P. R. China
Taekyun Kim: School of Science, Xi’an Technological University, Xi’an, Shaanxi, 710021, P. R. China†Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea
Hyunseok Lee: ��Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea
Dae San Kim: Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea

FRACTALS (fractals), 2022, vol. 30, issue 10, 1-10

Abstract: Recently, Kim–Kim introduced the λ-umbral calculus, in which the λ-Sheffer sequences occupy the central position. In this paper, we introduce the fully degenerate Bell and the fully degenerate Dowling polynomials, and investigate some properties and identities relating to those polynomials with the help of λ-umbral calculus. Here, we note that the fully degenerate Bell poynomials and the fully degenerate Dowling polynomials are, respectively, degenerate versions of the Bell polynomials and the Dowling polynomials, of which the latters are the natural extension of the Whitney numbers of the second kind.

Keywords: Degenerate Whitney Numbers of the Second Kind; Fully Degenerate Bell Polynomials; Fully Degenerate Dowling Polynomials (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X22402575
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:30:y:2022:i:10:n:s0218348x22402575

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X22402575

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().