Results 11 to 20 of about 187 (96)

On Degenerate Poly-Daehee Polynomials Arising from Lambda-Umbral Calculus

Journal of Mathematics, 2023
In this article, we derived various identities between the degenerate poly-Daehee polynomials and some special polynomials by using λ-umbral calculus by finding the coefficients when expressing degenerate poly-Daehee polynomials as a linear combination ...
Sang Jo Yun, Jin-Woo Park
doaj   +3 more sources

Degenerate Poly-Lah-Bell Polynomials and Numbers

Journal of Mathematics, 2022
Many mathematicians studied “poly” as a generalization of the well-known special polynomials such as Bernoulli polynomials, Euler polynomials, Cauchy polynomials, and Genocchi polynomials. In this paper, we define the degenerate poly-Lah-Bell polynomials
Taekyun Kim, Hye Kyung Kim
doaj   +3 more sources

Degenerate Hermite poly-Bernoulli numbers and polynomials with q-parameter [PDF]

Studia Universitatis Babes-Bolyai Matematica, 2020
In this paper, we introduce a new class of degenerate Hermite poly-Bernoulli polynomials with q-parameter and give some identities of these polynomials related to the Stirling numbers of the second kind. Some implicit summation formulae and general symmetry identities are derived by using dierent analytical means and applying generating functions ...
Waseem A. Khan, Idrees A. Khan, Musharraf Ali   +2 more
openaire   +3 more sources

Some applications of degenerate poly-Bernoulli numbers and polynomials [PDF]

Georgian Mathematical Journal, 2017
Abstract In this paper, we consider degenerate poly-Bernoulli numbers and polynomials associated with a polylogarithmic function and a p-adic invariant integral on ℤ p
Kim, Dae San, Kim, Taekyun
openaire   +3 more sources

Construction on the Degenerate Poly‐Frobenius‐Euler Polynomials of Complex Variable

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this paper, we introduce degenerate poly‐Frobenius‐Euler polynomials and derive some identities of these polynomials. We give some relationships between degenerate poly‐Frobenius‐Euler polynomials and degenerate Whitney numbers and Stirling numbers of the first kind.
Ghulam Muhiuddin, Waseem Ahmad Khan, Deena Al-Kadi, Sarfraz Nawaz Malik   +3 more
wiley   +2 more sources

Identities of Degenerate Poly‐Changhee Polynomials Arising from λ‐Sheffer Sequences

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In the 1970s, Gian‐Carlo Rota constructed the umbral calculus for investigating the properties of special functions, and by Kim‐Kim, umbral calculus is generalized called λ‐umbral calculus. In this paper, we find some important relationships between degenerate Changhee polynomials and some important special polynomials by expressing the Changhee ...
Sang Jo Yun, Jin-Woo Park, Barbara Martinucci   +2 more
wiley   +2 more sources

Probabilistic degenerate poly-Bell polynomials associated with random variables

Mathematical and Computer Modelling of Dynamical Systems
Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin. The aim of this paper is to study the probabilistic degenerate poly-Bell polynomials associated with the random variable [Formula: see ...
Pengxiang Xue, Yuankui Ma, Taekyun Kim, Dae San Kim, Wenpeng Zhang   +4 more
doaj   +2 more sources

FULLY DEGENERATE HERMITE POLY-BERNOULLI NUMBERS AND POLYNOMIALS

, 2018
In the paper, we first introduce the fully degenerate Hermite poly-Bernoulli polynomials and investigate their properties. Next we derive the implicit summation formulae and general symmetry identities by making use of different analytical means and generating function method.
Khan, Waseem Ahmad, Nisar, Kottakkaran Sooppy, Araci, Serkan, Acikgoz, Mehmet   +3 more
openaire   +2 more sources

A note on degenerate poly-Bernoulli numbers and polynomials [PDF]

Advances in Difference Equations, 2015
8 ...
Kim, Dae San, Kim, Taekyun
openaire   +3 more sources

Voter models on subcritical scale‐free random graphs

Random Structures &Algorithms, Volume 62, Issue 2, Page 376-429, March 2023., 2023
Abstract The voter model is a classical interacting particle system modelling how consensus is formed across a network. We analyze the time to consensus for the voter model when the underlying graph is a subcritical scale‐free random graph. Moreover, we generalize the model to include a “temperature” parameter controlling how the graph influences the ...
John Fernley, Marcel Ortgiese
wiley   +1 more source