Results 1 to 10 of about 2,081 (92)

Some properties on degenerate Fubini polynomials

Applied Mathematics in Science and Engineering, 2022
The nth Fubini number enumerates the number of ordered partitions of a set with n elements and is the number of possible ways to write the Fubini formula for a summation of integration of order n. Further, Fubini polynomials are natural extensions of the
Taekyun Kim, Dae San Kim, Hye Kyung Kim, Hyunseok Lee   +3 more
doaj   +2 more sources

Degenerate Fubini-Type Polynomials and Numbers, Degenerate Apostol–Bernoulli Polynomials and Numbers, and Degenerate Apostol–Euler Polynomials and Numbers

Axioms, 2022
In this paper, by introducing degenerate Fubini-type polynomials, with the help of the Faà di Bruno formula and some properties of partial Bell polynomials, the authors provide several new explicit formulas and recurrence relations for Fubini-type ...
Siqintuya Jin, Muhammet Cihat Dağli, Feng Qi   +2 more
doaj   +2 more sources

Some identities related to degenerate r-Bell and degenerate Fubini polynomials

Applied Mathematics in Science and Engineering, 2023
Many works have been done in recent years as to explorations for degenerate versions of some special polynomials and numbers, which began with the pioneering work of Carlitz on the degenerate Bernoulli and degenerate Euler polynomials.
Taekyun Kim, Dae San Kim, Jongkyum Kwon
doaj   +3 more sources

A Parametric Kind of the Degenerate Fubini Numbers and Polynomials [PDF]

Mathematics, 2020
In this article, we introduce the parametric kinds of degenerate type Fubini polynomials and numbers. We derive recurrence relations, identities and summation formulas of these polynomials with the aid of generating functions and trigonometric functions.
Sunil Kumar Sharma, Waseem A. Khan, Cheon Seoung Ryoo   +2 more
doaj   +2 more sources

New construction of type 2 degenerate central Fubini polynomials with their certain properties

Advances in Difference Equations, 2020
Kim et al. (Proc. Jangjeon Math. Soc. 21(4):589–598, 2018) have studied the central Fubini polynomials associated with central factorial numbers of the second kind.
Sunil Kumar Sharma, Waseem A. Khan, Serkan Araci, Sameh S. Ahmed   +3 more
doaj   +4 more sources

Probabilistic degenerate Fubini polynomials associated with random variables

Journal of Nonlinear Mathematical Physics
Let Y be a random variable such that the moment generating function of Y exists in a neighborhood of the origin. The aim of this paper is to study probabilistic versions of the degenerate Fubini polynomials and the degenerate Fubini polynomials of order $
Kim, Dae San, Kim, Taekyun, Ma, Yuankui, Xu, Rongrong   +3 more
core   +2 more sources

Symmetric Identities Involving the Extended Degenerate Central Fubini Polynomials Arising from the Fermionic p-Adic Integral on ℤ_p

Axioms
Since the constructions of p-adic q-integrals, these integrals as well as particular cases have been used not only as integral representations of many special functions, polynomials, and numbers, but they also allow for deep examinations of many families
Maryam Salem Alatawi, Waseem Ahmad Khan, Ugur Duran   +2 more
doaj   +3 more sources

Some results on degenerate Fubini and degenerate Bell polynomials

Applicable Analysis and Discrete Mathematics, 2023
The aim of this paper is to further study some properties and identities on the degenerate Fubini and the degenerate Bell polynomials which are degenerate versions of the Fubini and the Bell polynomials, respectively. Especially, we find several expressions for the generating function of the sum of the values of the generalized falling factorials at ...
Kim, Taekyun, Kim, Dae San
openaire   +3 more sources

Degenerate Derangement Polynomials and Numbers

Fractal 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

Some identities related to degenerate Stirling numbers of the second kind

Demonstratio 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