Results 81 to 90 of about 1,461 (202)

Spivey’s type recurrence relation for Lah-Bell polynomials

Mathematical and Computer Modelling of Dynamical Systems
The aim of this paper is to derive Spivey’s type recurrence relations for the Lah-Bell polynomials and the [Formula: see text]-Lah-Bell polynomials by utilizing operators [Formula: see text] and [Formula: see text] satisfying the commutation relation ...
Dae San Kim, Sunyoung Bu, Hyunseok Lee, Murad Khalil, Taekyun Kim   +4 more
doaj   +1 more source

Probabilistic degenerate central Bell polynomials

Mathematical and Computer Modelling of Dynamical Systems
Assume that [Formula: see text] is a random variable whose moment generating function exists in a neighbourhood of the origin. In this paper, we study the probabilistic degenerate central Bell polynomials associated with [Formula: see text], as ...
Li Chen, Taekyun Kim, Dae San Kim, Hyunseok Lee, Si-Hyeon Lee   +4 more
doaj   +1 more source

Series expansions of powers of the arcsine function, closed forms for special Bell polynomials of the second kind, and series representations of generalized logsine functions [PDF]

, 2021
Bai‐Ni Guo, Dongkyu Lim, Feng Qi
openalex  

The (r1,...,rp)-Bell polynomials

, 2012
12 ...
Maamra, Mohammed Said, Mihoubi, Miloud
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

Bell Polynomial Approach and Wronskian Technique to Good Boussinesq Equation [PDF]

, 2023
Xiaotian Dai, Zhenyun Qin
openalex   +1 more source

Exploring probabilistic Bernstein polynomials: identities and applications

Applied Mathematics in Science and Engineering
In this paper, we introduce the probabilistic Bernstein polynomials and derive new and interesting correlations among several special functions and special number sequences such as Euler polynomials, Bernoulli polynomials of higher order, Frobenius–Euler
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

Study of the soliton propagation of the fractional nonlinear type evolution equation through a novel technique. [PDF]

PLoS One, 2023
Zaman UHM, Arefin MA, Akbar MA, Uddin MH.   +3 more
europepmc   +1 more source

Solutions to the recurrence relation u n+1 = v n+1 + u n ⊗ v n in terms of Bell polynomials [PDF]

, 2012
Christopher S. Withers, Saralees Nadarajah   +1 more
openalex   +1 more source

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   +1 more source