Results 41 to 50 of about 6,140 (120)

Some new properties on degenerate Bell polynomials

, 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, Kim, Dae San, Lee, Hyunseok, Park, Seongho   +3 more
openaire   +2 more sources

Positivity Problems for Low-Order Linear Recurrence Sequences

, 2013
We consider two decision problems for linear recurrence sequences (LRS) over the integers, namely the Positivity Problem (are all terms of a given LRS positive?) and the Ultimate Positivity Problem} (are all but finitely many terms of a given LRS ...
Ouaknine, Joel, Worrell, James
core   +1 more source

Unified Degenerate Central Bell Polynomials

, 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

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   +3 more sources

Degenerate binomial coefficients and degenerate hypergeometric functions

Advances in Difference Equations, 2020
In this paper, we investigate degenerate versions of the generalized pth order Franel numbers which are certain finite sums involving powers of binomial coefficients.
Taekyun Kim, Dae San Kim, Hyunseok Lee, Jongkyum Kwon   +3 more
doaj   +1 more source

Detection of Macroscopic Entanglement by Correlation of Local Observables

, 2005
We propose a correlation of local observables on many sites in macroscopic quantum systems. By measuring the correlation one can detect, if any, superposition of macroscopically distinct states, which we call macroscopic entanglement, in arbitrary ...
A. Sugita, A. J. Leggett, Akira Shimizu, H. B. Callen, M. A. Nielsen, Tomoyuki Morimae   +5 more
core   +1 more source

Integrals of Motion for Critical Dense Polymers and Symplectic Fermions

, 2009
We consider critical dense polymers ${\cal L}(1,2)$. We obtain for this model the eigenvalues of the local integrals of motion of the underlying Conformal Field Theory by means of Thermodynamic Bethe Ansatz. We give a detailed description of the relation
Alessandro Nigro, Brankov J G, Feigin B L Gainutdinov A M Semikhatov A M Tipunin I Yu, Gaberdiel M R, Jones V F R, Kausch H G, Nigro A, Nigro A, Pearce P A, Pearce P A, Pearce P A, Pearce P A, Piroux G, Piroux G, Sasaki R   +14 more
core   +2 more sources

A note on degenerate Bell numbers and polynomials

, 2015
12 ...
Kim, Taekyun, Kim, Dae san
openaire   +2 more sources

Some identities on degenerate Bell polynomials and their related identities

, 2021
11 ...
Kim, Taekyun, kim, Dae san
openaire   +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   +1 more source