Results 31 to 40 of about 34,757 (249)
The partial r-Bell polynomials [PDF]
In this paper, we show that the r-Stirling numbers of both kinds, the r-Whitney numbers of both kinds, the r-Lah numbers and the r-Whitney-Lah numbers form particular cases of family of polynomials forming a generalization of the partial Bell polynomials. We deduce the generating functions of several restrictions of these numbers.
Miloud Mihoubi, Mourad Rahmani
openaire +3 more sources
On some expansions for the Euler Gamma function and the Riemann Zeta function [PDF]
In the present paper we introduce some expansions, based on the falling factorials, for the Euler Gamma function and the Riemann Zeta function. In the proofs we use the Fa\'a di Bruno formula, Bell polynomials, potential polynomials, Mittag-Leffler ...
Bateman+15 more
core +2 more sources
Recurrence Relations for Strongly q-Log-Convex Polynomials [PDF]
We consider a class of strongly q-log-convex polynomials based on a triangular recurrence relation with linear coefficients, and we show that the Bell polynomials, the Bessel polynomials, the Ramanujan polynomials and the Dowling polynomials are strongly
Arthur L. B. Yang+6 more
core +3 more sources
Degenerate Bell polynomials associated with umbral calculus
Carlitz initiated a study of degenerate Bernoulli and Euler numbers and polynomials which is the pioneering work on degenerate versions of special numbers and polynomials.
Taekyun Kim+4 more
doaj +1 more source
Identities on Changhee Polynomials Arising from λ-Sheffer Sequences
In this paper, authors found a new and interesting identity between Changhee polynomials and some degenerate polynomials such as degenerate Bernoulli polynomials of the first and second kind, degenerate Euler polynomials, degenerate Daehee polynomials ...
Byung Moon Kim+3 more
doaj +1 more source
Some Identities of Fully Degenerate Dowling Polynomials and Numbers
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
On the numerical solution of optimal control problems via Bell polynomials basis [PDF]
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
Wage reactions to regional and national unemployment
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
Dobiński relations and ordering of boson operators [PDF]
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
Polynomials with real zeros via special polynomials
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