Results 41 to 50 of about 209 (173)

Closed formulas and determinantal expressions for higher-order Bernoulli and Euler polynomials in terms of Stirling numbers [PDF]

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021
In this paper, applying the Faà di Bruno formula and some properties of Bell polynomials, several closed formulas and determinantal expressions involving Stirling numbers of the second kind for higher-order Bernoulli and Euler polynomials are presented.
openaire   +3 more sources

Shaped electrodes for adaptive X‐ray optics

Journal 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, Francesco Marzari, Grant D. Cutler   +2 more
wiley   +1 more source

Hankel determinants and Jacobi continued fractions for $q$-Euler numbers

Comptes Rendus. Mathématique
The $q$-analogs of Bernoulli and Euler numbers were introduced by Carlitz in 1948. Similar to recent results on the Hankel determinants for the $q$-Bernoulli numbers established by Chapoton and Zeng, we perform a parallel analysis for the $q$-Euler ...
Chern, Shane, Jiu, Lin
doaj   +1 more source

Truncated Fubini Polynomials

Mathematics, 2019
In this paper, we introduce the two-variable truncated Fubini polynomials and numbers and then investigate many relations and formulas for these polynomials and numbers, including summation formulas, recurrence relations, and the derivative property.
Ugur Duran, Mehmet Acikgoz
doaj   +1 more source

A modified polynomial-based approach to obtaining the eigenvalues of a uniform Euler–Bernoulli beam carrying any number of attachments

Journal of Vibration and Control, 2023
Free vibration characteristics in uniform beams with several lumped attachments are an important problem in engineering applications that have to deal with mounting different equipment (e.g. motors, oscillators or engines) on a structural beam.
Aguilar, Cristina, Ruz, Mario L., Blanco-Rodríguez, Francisco J.   +2 more
openaire   +4 more sources

Nonlinear Vibration Characteristic Analysis of Electric Vehicle–Road Coupling System

International 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

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   +1 more source

Machining Simulation of Recrystallized SiC: Failure Mechanisms, Numerical Influences, Tool Dynamics, and Friction Behavior

Journal of the American Ceramic Society, Volume 109, Issue 6, June 2026.
ABSTRACT This paper presents a comprehensive study on the machining simulation of recrystallized silicon carbide (R‐SiC), with a focus on material failure mechanisms, numerical influences, tool kinematics, and frictional behavior. A representative volume of interest was derived from CT data, and a meshing algorithm for CT‐based structures was ...
Simon Unseld, Stefan Kleiner, Achim Rösiger, Ralf Goller, Dietmar Koch   +4 more
wiley   +1 more source

Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function

Axioms, 2019
The aim of this paper is to construct generating functions for new families of combinatorial numbers and polynomials. By using these generating functions with their functional and differential equations, we not only investigate properties of these new ...
Irem Kucukoglu, Burcin Simsek, Yilmaz Simsek   +2 more
doaj   +1 more source

An Explicit, Compact, and Rotation‐Agnostic Formulation for Equivalent Nodal Loads for Point‐Loaded Beams

International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.
ABSTRACT In time‐marching dynamical simulations, treatment of contact forces in deformable bodies represented by finite element meshes requires a compromise between simulation fidelity and computational costs. External forces directly evaluated at the mesh nodes offer better computational performance at the cost of modelling fidelity.
Alexander R. Schock, Mark Reckzin, Robert G. Langlois   +2 more
wiley   +1 more source