Results 31 to 40 of about 4,739 (138)

Degenerate r-Bell Polynomials Arising from Degenerate Normal Ordering

open access: yesJournal of Mathematics, 2022
Recently, Kim-Kim introduced the degenerate r-Bell polynomials and investigated some results which are derived from umbral calculus. The aim of this paper is to study some properties of the degenerate r-Bell polynomials and numbers via boson operators ...
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj   +1 more source

New type of degenerate Daehee polynomials of the second kind

open access: yesAdvances in Difference Equations, 2020
Recently, Kim and Kim (Russ. J. Math. Phys. 27(2):227–235, 2020) have studied new type degenerate Bernoulli numbers and polynomials by making use of degenerate logarithm. Motivated by (Kim and Kim in Russ. J. Math. Phys. 27(2):227–235, 2020), we consider
Sunil Kumar Sharma   +3 more
doaj   +1 more source

Combinatorial Identities with Several Kinds of Degenerate-Daehee Sequences [PDF]

open access: yes, 2020
In this paper, we mainly make use of the probabilistic method to calculate several different moment representations of the degenerate Daehee numbers of the third kind with degenerate log function.
Hao, Tian, Wuyungaowa, .
core   +1 more source

Ordinary and degenerate Euler numbers and polynomials

open access: yesJournal of Inequalities and Applications, 2019
In this paper, we study some identities on Euler numbers and polynomials, and those on degenerate Euler numbers and polynomials which are derived from the fermionic p-adic integrals on Zp $\mathbb{Z}_{p}$.
Taekyun Kim   +3 more
doaj   +1 more source

Degenerate Poly-Lah-Bell Polynomials and Numbers

open access: yesJournal 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   +1 more source

On generalized degenerate Euler–Genocchi polynomials

open access: yesApplied Mathematics in Science and Engineering, 2023
We introduce the generalized degenerate Euler–Genocchi polynomials as a degenerate version of the Euler–Genocchi polynomials. In addition, we introduce their higher-order version, namely the generalized degenerate Euler–Genocchi polynomials of order α ...
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj   +1 more source

Degenerate poly-Bernoulli polynomials arising from degenerate polylogarithm

open access: yesAdvances in Difference Equations, 2020
Recently, degenerate polylogarithm functions were introduced by Kim and Kim. In this paper, we introduce degenerate poly-Bernoulli polynomials by means of the degenerate polylogarithm functions and investigate some their properties.
Taekyun Kim   +4 more
doaj   +1 more source

p-Adic integral on Z p $\mathbb{Z}_{p}$ associated with degenerate Bernoulli polynomials of the second kind

open access: yesAdvances in Difference Equations, 2020
In this paper, by means of p-adic Volkenborn integrals we introduce and study two different degenerate versions of Bernoulli polynomials of the second kind, namely partially and fully degenerate Bernoulli polynomials of the second kind, and also their ...
Lee-Chae Jang   +3 more
doaj   +1 more source

Combinatorial Entropy for Distinguishable Entities in Indistinguishable States

open access: yes, 2007
The combinatorial basis of entropy by Boltzmann can be written $H= {N}^{-1} \ln \mathbb{W}$, where $H$ is the dimensionless entropy of a system, per unit entity, $N$ is the number of entities and $\mathbb{W}$ is the number of ways in which a given ...
Andrea Rapisarda   +5 more
core   +1 more source

One‐Step Electrodeposition of Iron Oxyhydroxide Onto 3D Porous Graphene Substrates for on Chip Asymmetric Micro‐Supercapacitors

open access: yesBatteries &Supercaps, Volume 8, Issue 3, March 2025.
A micro‐supercapacitor with electrodeposited iron oxyhydroxide (FeOOH) as the negative electrode and birnessite manganese oxide (MnO2) as the positive electrode achieves a 2 V working voltage, stable cycling in an aqueous electrolyte, and high energy and power densities of 21 μWh cm‐2 and 2.5 mW cm‐2 respectively.
Filipe Braga   +6 more
wiley   +1 more source

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