Results 11 to 20 of about 97 (64)

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 ...
Taekyun Kim, Dae San Kim, Hyunseok Lee   +2 more
exaly   +4 more sources

Some identities of degenerate Fubini polynomials arising from differential equations

Journal of Nonlinear Science and Applications, 2018
Summary: Recently, \textit{T. Kim} et al. have studied degenerate Fubini polynomials in [ibid. 9, No. 5, 2857--2864 (2016; Zbl 1338.11035)]. \textit{G.-W. Jang} and \textit{T. Kim} presented some identities of Fubini polynomials arising from differential equations in [Adv. Stud. Contemp. Math., Kyungshang 28, No. 1, 149--160 (2018; Zbl 1424.93094)]. In
Sung-Soo Pyo
exaly   +5 more sources

Several Symmetric Identities of the Generalized Degenerate Fubini Polynomials by the Fermionic p-Adic Integral on Zp

Symmetry
After constructions of p-adic q-integrals, in recent years, these integrals with some of their special cases have not only been utilized as integral representations of many special numbers, polynomials, and functions but have also given the chance for deep analysis of many families of special polynomials and numbers, such as Bernoulli, Fubini, Bell ...
Maryam Salem Alatawi, Waseem Ahmad Khan, Uğur Duran   +2 more
exaly   +4 more sources

On Degenerate Truncated Special Polynomials

Mathematics, 2020
The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation method and diverse special proof ...
Ugur Duran, Mehmet Acikgoz
doaj   +2 more sources

Probabilistic degenerate Bernoulli and degenerate Euler polynomials

Mathematical and Computer Modelling of Dynamical Systems
Recently, many authors have studied degenerate Bernoulli and degenerate Euler polynomials. Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin.
Lingling Luo, Taekyun Kim, Dae San Kim, Yuankui Ma   +3 more
doaj   +2 more sources

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

Some results on degenerate harmonic numbers and degenerate Fubini polynomials

, 2022
In recent years, some degenerate versions of quite a few special numbers and polynomials are introduced and investigated by means of various methods. The aim of this paper is to study some results on degenerate harmonic numbers, degenerate hyperharmonic numbers, degenerate Fubi polynomials and degenerate r-Fubini polynomials from a general identity ...
Kim, Taekyun, Kim, Dae San
openaire   +2 more sources

Polynomials [PDF]

, 2020
Polynomial and its applications are well known for their proven properties and excellent applicability in interdisciplinary fields of science. Until now, research on polynomial and its applications has been done in mathematics, applied mathematics, and ...

core   +1 more source

Degenerate Fubini-type polynomials associated with degenerate Apostol-Bernoulli and Apostol-Euler polynomials of order α

, 2021
In this paper, by introducing the degenerate Fubini-type polynomials, we give several relations with the help of the Faà di Bruno formula and some properties of Bell polynomials, and generating function methods. Also, we derive some new explicit formulas and recurrence relations for Fubini-type polynomials and numbers. Associating the degenerate Fubini-
openaire   +2 more sources

On A New Type of Degenerate Poly-Fubini Numbers and Polynomials

, 2020
In this paper, we introduce a new type of degenerate poly-Fubini polynomials and numbers, are called degenerate poly-Fubini polynomials and numbers, by using the degenerate polylogarithm function and derive several properties on the degenerate poly-Fubini polynomials and numbers.
openaire   +4 more sources