Results 61 to 70 of about 670 (184)

Some identities involving Bernoulli, Euler and degenerate Bernoulli numbers and their applications

open access: yesApplied Mathematics in Science and Engineering, 2023
The paper has two main objectives. Firstly, it explores the properties of hyperbolic cosine and hyperbolic sine functions by using Volkenborn and the fermionic p-adic integrals, respectively.
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj   +1 more source

Uncertainty Quantification of Analytical Solutions for the Nonlinear Space and Time Fractional Order ϕ4$$ {\phi}^4 $$ Equation Under Fuzziness

open access: yesEngineering Reports, Volume 8, Issue 7, July 2026.
Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid   +3 more
wiley   +1 more source

A parametric unified Apostol-type Bernoulli, Euler, Genocchi, Fubini polynomials and numbers

open access: yesFilomat, 2023
In recent years, mathemacians ([1], [3], [5], [22], [23]) introduced and investigated the Fubini Apostol-type numbers and polynomials. They gave some recurrence relations explicit properties and identities for these polynomials. In [12], author considered unified degenerate Apostol-type Bernoulli, Euler, Genocchi and Fubini polynomials and ...
openaire   +1 more source

Finite Element Approximation for a Reformulation of a 3D Fluid–2D Plate Interaction System

open access: yesNumerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT We study a finite element approximation of a coupled fluid‐structure interaction consisting of a three‐dimensional incompressible viscous fluid governed by the unsteady Stokes equations and a two‐dimensional elastic plate. To avoid the use of H2−$$ {H}^2- $$conforming or nonconforming ℙ2$$ {\mathbb{P}}_2 $$‐Morley plate elements, the fourth ...
Lander Besabe, Hyesuk Lee
wiley   +1 more source

Some Identities for the Bernoulli, the Euler and the Genocchi Numbers and Polynomials

open access: yes, 2009
The purpose of this paper is to give some new identities for the Bernoulli, the Euler and the Genocchi numbers and polynomials.
openaire   +3 more sources

Shaped electrodes for adaptive X‐ray optics

open access: yesJournal of Synchrotron Radiation, Volume 33, Issue 4, Page 961-967, July 2026.
For adaptive X‐ray optics on high‐performance beamline optical systems, we describe an approach to mirror figure and slope control using patterned, shaped electrodes to control the local curvature on a lithium niobate substrate from a single applied voltage. Longitudinally continuous electrode patterns achieve target shapes without discontinuities, and
Kenneth A. Goldberg   +2 more
wiley   +1 more source

Derivation of computational formulas for Changhee polynomials and their functional and differential equations

open access: yesJournal of Inequalities and Applications, 2020
The goal of this paper is to demonstrate many explicit computational formulas and relations involving the Changhee polynomials and numbers and their differential equations with the help of functional equations and partial derivative equations for ...
Ji Suk So, Yilmaz Simsek
doaj   +1 more source

A Note On Multi Poly-Euler Numbers And Bernoulli Polynomials

open access: yes, 2014
13 ...
Jolany, Hassan   +3 more
openaire   +2 more sources

Definability of complex functions in o‐minimal structures

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract We prove that holomorphic continuations of functions in the classes an∗$\mathbf {an}^*$ and G$\mathcal {G}$ are definable in the o‐minimal structures Ran∗$\mathbb {R}_{\operatorname{an}^*}$ and RG$\mathbb {R}_{\mathcal {G}}$, respectively. More specifically, we give complex domains on which the holomorphic continuations are definable and show ...
Adele Padgett, Patrick Speissegger
wiley   +1 more source

Nonlinear Vibration Characteristic Analysis of Electric Vehicle–Road Coupling System

open access: yesInternational Journal of Mechanical System Dynamics, Volume 6, Issue 2, Page 267-281, June 2026.
ABSTRACT In‐wheel motor drive is the developing direction of automobile electrification and intelligence. However, the increased unsprung mass in in‐wheel motor‐driven electric vehicles (IWMEVs) leads to higher dynamic tire loads, thereby intensifying vehicle–road coupling interactions. To address this problem, an 11‐degree‐of‐freedom nonlinear dynamic
Guizhen Feng, Shaohua Li, Xuewei Wang
wiley   +1 more source

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