Results 31 to 40 of about 6,126 (171)

Some identities related to degenerate Stirling numbers of the second kind

open access: yesDemonstratio Mathematica, 2022
The degenerate Stirling numbers of the second kind were introduced as a degenerate version of the ordinary Stirling numbers of the second kind. They appear very frequently when one studies various degenerate versions of some special numbers and ...
Kim Taekyun, Kim Dae San, Kim Hye Kyung
doaj   +1 more source

Degenerate Derangement Polynomials and Numbers

open access: yesFractal 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   +1 more source

Characterizing finite-dimensional quantum behavior [PDF]

open access: yes, 2015
We study and extend the semidefinite programming (SDP) hierarchies introduced in [Phys. Rev. Lett. 115, 020501] for the characterization of the statistical correlations arising from finite dimensional quantum systems.
Araujo, Mateus   +3 more
core   +3 more sources

Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers

open access: yesOpen Mathematics, 2021
In this paper, with the aid of the Faà di Bruno formula and by virtue of properties of the Bell polynomials of the second kind, the authors define a kind of notion of degenerate Narumi numbers and polynomials, establish explicit formulas for degenerate ...
Qi Feng   +2 more
doaj   +1 more source

On fully degenerate Bell numbers and polynomials

open access: yesFilomat, 2020
Recently, the partially degenerate Bell numbers and polynomials were introduced as a degenerate version of Bell numbers and polynomials. In this paper, as a further degeneration of them, we study fully degenerate Bell numbers and polynomials.
Dolgy, Dmitry V.   +3 more
openaire   +3 more sources

Some new properties on degenerate Bell polynomials

open access: yes, 2021
The aim of this paper is to study the degenerate Bell numbers and polynomials which are degenerate version of the Bell numbers and polynomials. we derive some new identities and properties of those numbers and polynomials that are associated with the degenerate Stirling numbers of the both kinds.
Kim, Taekyun   +3 more
openaire   +2 more sources

Generalized degenerate Stirling numbers arising from degenerate Boson normal ordering

open access: yesApplied Mathematics in Science and Engineering, 2023
It is remarkable that, in recent years, intensive studies have been done for degenerate versions of many special polynomials and numbers and have yielded many interesting results.
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj   +1 more source

Some identities on derangement and degenerate derangement polynomials

open access: yes, 2017
In combinatorics, a derangement is a permutation that has no fixed points. The number of derangements of an n-element set is called the n-th derangement number.
AM Garsia   +14 more
core   +1 more source

Unified Degenerate Central Bell Polynomials

open access: yes, 2019
In this paper, we firstly consider extended degenerate central factorial numbers of the second kind and provide some properties of them. We then introduce unified degenerate central Bell polynomials and numbers and investigate many relations and formulas including summation formula, explicit formula and derivative property.
Acikgoz, Mehmet, Duran, Ugur
openaire   +3 more sources

On generalized degenerate Gould-Hopper based fully degenerate Bell polynomials

open access: yesJournal 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   +3 more sources

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