Some Identities of Fully Degenerate r -Dowling Polynomials Arising from λ -Umbral Calculus

Xiaoxue Li, Siqi Dong () and Yuankui Ma
Additional contact information
Xiaoxue Li: School of Science, Xihang University, Xi’an 710077, China
Siqi Dong: School of Science, Xi’an Technological University, Xi’an 710021, China
Yuankui Ma: School of Science, Xi’an Technological University, Xi’an 710021, China

Mathematics, 2025, vol. 13, issue 13, 1-22

Abstract: This paper introduces fully Dowling polynomials of the first and second kinds, which are degenerate versions of the ordinary Dowling polynomials. Then, several important identities for these degenerate polynomials are derived. The relationship between fully degenerate Dowling polynomials and fully degenerate Bell polynomials, degenerate Bernoulli polynomials, degenerate Euler polynomials, and so on is obtained using umbral calculus.

Keywords: degenerate r -Whitney numbers; fully degenerate r -Dowling polynomials; λ -umbral calculus (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/13/2162/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/13/2162/ (text/html)

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:gam:jmathe:v:13:y:2025:i:13:p:2162-:d:1693001

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().