Results 31 to 40 of about 35,394 (206)
Dobiński relations and ordering of boson operators [PDF]
, 2006 We introduce a generalization of the Dobiński relation, through which we define a family of Bell-type numbers and polynomials. Such generalized Dobiński relations are coherent state matrix elements of expressions involving boson ladder operators.
A. Gawron +21 more
core +2 more sources
Bell Polynomials and Nonlinear Inverse Relations [PDF]
The Electronic Journal of Combinatorics, 2021 By means of the Lagrange expansion formula, we establish a general pair of nonlinear inverse series relations, which are expressed via partial Bell polynomials with the connection coefficients involve an arbitrary formal power series. As applications, two examples are presented with one of them recovering the difficult theorems discovered recently by ...
openaire +1 more source
Some Identities of Fully Degenerate Dowling Polynomials and Numbers
Discrete Dynamics in Nature and Society, 2023 Recently, Kim-Kim introduced the degenerate Whitney numbers of the first and second kind involving the degenerate Dowling polynomials and numbers.
Lingling Luo +3 more
doaj +1 more source
Wage reactions to regional and national unemployment
Regional Science Policy &Practice, EarlyView., 2023 Abstract This paper analyses the entire wage effects of unemployment for an especially long observation period. In a three‐step approach, the wage reaction at the national level (wage‐setting curve or aggregate wage equation) is added to the reaction at the regional level (wage curve). Spatial models with instrumental variables are used.
Uwe Blien +3 more
wiley +1 more source
On the numerical solution of optimal control problems via Bell polynomials basis [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2020 We present a new numerical approach to solve the optimal control problems (OCPs) with a quadratic performance index. Our method is based on the Bell polynomials basis. The properties of Bell polynomials are explained.
M.R. Dadashi +3 more
doaj +1 more source
Polynomials with real zeros via special polynomials
Comptes Rendus. Mathématique, 2021 In this paper, we use particular polynomials to establish some results on the real rootedness of polynomials. The considered polynomials are Bell polynomials and Hermite polynomials.
Mihoubi, Miloud, Taharbouchet, Said
doaj +1 more source
New Properties on Degenerate Bell Polynomials
Complexity, 2021 The aim of this paper is to study the degenerate Bell numbers and polynomials which are degenerate versions of the Bell numbers and polynomials. We derive some new identities and properties of those numbers and polynomials that are associated with the ...
Taekyun Kim +4 more
doaj +1 more source
Diagonal recurrence relations for the Stirling numbers of the first kind [PDF]
, 2015 In the paper, the author presents diagonal recurrence relations for the Stirling numbers of the first kind. As by-products, the author also recovers three explicit formulas for special values of the Bell polynomials of the second kind.Comment: 7 ...
Qi, Feng
core +3 more sources
Degenerate r-Bell Polynomials Arising from Degenerate Normal Ordering
Journal of Mathematics, 2022 Recently, Kim-Kim introduced the degenerate r-Bell polynomials and investigated some results which are derived from umbral calculus. The aim of this paper is to study some properties of the degenerate r-Bell polynomials and numbers via boson operators ...
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj +1 more source
A new family of Apostol–Genocchi polynomials associated with their certain identities
Applied Mathematics in Science and Engineering, 2023 In this paper, we provide a generating function for mix type Apostol–Genocchi polynomials of order η associated with Bell polynomials. We also derive certain important identities of Apostol Genocchi polynomials of order η based on Bell polynomials, such ...
Nabiullah Khan +3 more
doaj +1 more source