Results 21 to 30 of about 628,239 (128)

A note on the fully degenerate Bell polynomials of the second kind [PDF]

Contributions to Discrete Mathematics, 2022
In the paper, the authors study new degenerating approach to the Bell polynomials which are called fully degenerate Bell polynomials of the second kind. We establish some identities from the fully degenerate Bell polynomials of the second kind, and give explicit relations to special numbers and polynomials.
Lim, Dongkyu
openaire   +3 more sources

Some new formulas of complete and incomplete degenerate Bell polynomials [PDF]

Advances in Difference Equations, 2021
The aim of this paper is to study the complete and incomplete degenerate Bell polynomials, which are degenerate versions of the complete and incomplete Bell polynomials, and to derive some properties and identities for those polynomials.
Dae San Kim, Taekyun Kim, Si-Hyeon Lee, Jin-Woo Park   +3 more
doaj   +2 more sources

On generalized degenerate Gould-Hopper based fully degenerate Bell polynomials

Journal of Mathematics and Computer Science, 2020
In this paper, we introduce both the generalized degenerate Gould-Hopper based degenerate Stirling polynomials of the second kind and the generalized degenerate Gould-Hopper based fully degenerate Bell polynomials. We study and investigate multifarious properties and relations of these polynomials such as explicit formulas, differentiation rules and ...
Duran, Uğur, Açıkgöz, Mehmet
openaire   +4 more sources

Degenerate Derangement Polynomials and Numbers

Fractal and Fractional, 2021
In this paper, we consider a new type of degenerate derangement polynomial and number, which shall be called the degenerate derangement polynomials and numbers of the second kind.
Minyoung Ma, Dongkyu Lim
doaj   +2 more sources

On Degenerate Truncated Special Polynomials

Mathematics, 2020
The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation method and diverse special proof ...
Ugur Duran, Mehmet Acikgoz
doaj   +2 more sources

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

Mathematics
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.
Xiaoxue Li, Siqi Dong, Yuankui Ma
doaj   +2 more sources

Insight into degenerate Bell-based Bernoulli polynomials with applications [PDF]

Journal of Mathematics and Computer Science
Recently, the Bell-based Stirling polynomials of the second kind and the Bell-based Bernoulli polynomials [U. Duran, S. Araci, M. Acikgoz, Axioms, 10 (2021), 23 pages] have been considered, and some of their properties and applications in umbral calculus have been derived and analyzed.
Duran, Uğur, Araci, Serkan, Acikgoz, Mehmet   +2 more
core   +5 more sources

Representations by Ordered Bell and Degenerate Ordered Bell Polynomials

Rocky Mountain Journal of Mathematics
20 pages.
Taekyun Kim, Dae San Kim
exaly   +3 more sources

Some properties of Appell type degenerate Bell polynomials

Hacettepe Journal of Mathematics and Statistics
In recent years, the degenerate versions of some polynomial families such as Bernoulli, Euler, Apostol and Bell polynomials have been intensively studied in the literature. Many new forms of Bell polynomials such as degenerate, partially degenerate and fully degenerate have attracted attention.
Zeynep Özat, Mehmet Ali Özarslan, Bayram Çekim   +2 more
openaire   +2 more sources

On the degenerate negative λ-binomial and Poisson random variables from degenerate special polynomials

Mathematical and Computer Modelling of Dynamical Systems
In this paper, we investigate the theory and applications of negative λ-binomial random variable with parameter [Formula: see text] and Poisson random variable with parameter [Formula: see text].
Jongkyum Kwon, Sangbeom Park, Jin-Woo Park   +2 more
doaj   +2 more sources