Some properties of degenerate complete and partial Bell polynomials

In this paper, we study degenerate complete and partial Bell polynomials and establish some new identities for those polynomials. In addition, we investigate the connections between modified degenerate complete and partial Bell polynomials, which are closely related to the degenerate complete and pa...

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Bibliographic Details
Published in:Advances in difference equations 2021-06, Vol.2021 (1), p.1-12, Article 304
Main Authors: Kim, Taekyun, Kim, Dae San, Kwon, Jongkyum, Lee, Hyunseok, Park, Seong-Ho
Format: Article
Language:English
Subjects:
Analysis
Combinatorial analysis
Degenerate complete Bell polynomials
Degenerate partial Bell polynomials
Degenerate Poisson random variable
Difference and Functional Equations
Functional Analysis
Independent variables
Mathematics
Mathematics and Statistics
Modified degenerate complete Bell polynomials
Modified degenerate partial Bell polynomials
Ordinary Differential Equations
Partial Differential Equations
Polynomials
Random variables
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Summary:In this paper, we study degenerate complete and partial Bell polynomials and establish some new identities for those polynomials. In addition, we investigate the connections between modified degenerate complete and partial Bell polynomials, which are closely related to the degenerate complete and partial Bell polynomials, and the joint distribution of weighted sums of independent degenerate Poisson random variables.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-021-03460-3