Treffer: Degenerate poly-Bell polynomials and numbers
Title:
Degenerate poly-Bell polynomials and numbers
Authors:
Source:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-12 (2021)
Publication Status:
Preprint
Publisher Information:
Springer Science and Business Media LLC, 2021.
Publication Year:
2021
Subject Terms:
degenerate poly-Euler polynomials, Modified degenerate polyexponential functions, Bell and Stirling numbers, 02 engineering and technology, modified degenerate polyexponential functions, 16. Peace & justice, Bell polynomials and numbers, 01 natural sciences, degenerate poly-Bernoulli polynomials, Degenerate poly-Bernoulli polynomials, QA1-939, 0202 electrical engineering, electronic engineering, information engineering, Degenerate poly-Euler polynomials, 0101 mathematics, Bernoulli and Euler numbers and polynomials, Mathematics, Combinatorial identities, bijective combinatorics
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
Language:
English
ISSN:
1687-1847
DOI:
10.1186/s13662-021-03522-6
DOI:
10.13140/rg.2.2.19672.83208
Access URL:
https://advancesindifferenceequations.springeropen.com/track/pdf/10.1186/s13662-021-03522-6
https://zbmath.org/7575386
https://doi.org/10.1186/s13662-021-03522-6
https://doaj.org/article/aa404f6339f1425d9c70368ac0ca7a78
https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-021-03522-6
https://link.springer.com/content/pdf/10.1186/s13662-021-03522-6.pdf
https://zbmath.org/7575386
https://doi.org/10.1186/s13662-021-03522-6
https://doaj.org/article/aa404f6339f1425d9c70368ac0ca7a78
https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-021-03522-6
https://link.springer.com/content/pdf/10.1186/s13662-021-03522-6.pdf
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....35dee57b22b13baa0f4cf4fe4c50ce5f
Database:
OpenAIRE
Weitere Informationen
Numerous mathematicians have studied ‘poly’ as one of the generalizations to special polynomials, such as Bernoulli, Euler, Cauchy, and Genocchi polynomials. In relation to this, in this paper, we introduce the degenerate poly-Bell polynomials emanating from the degenerate polyexponential functions which are called the poly-Bell polynomials when $\lambda \rightarrow 0$ λ → 0 . Specifically, we demonstrate that they are reduced to the degenerate Bell polynomials if $k = 1$ k = 1 . We also provide explicit representations and combinatorial identities for these polynomials, including Dobinski-like formulas, recurrence relationships, etc.