Results 51 to 60 of about 7,952 (182)

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

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

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

Closed Form Relations and Higher‐Order Approximations of First and Second Derivatives of the Tangent Operator on SE(3)

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 4, April 2026.
ABSTRACT The Lie group SE3$SE\left(3\right)$ of isometric orientation‐preserving transformation is used for modeling multibody systems, robots, and Cosserat continua. The use of these models in numerical simulation and optimization schemes necessitates the exponential map, its right‐trivialized differential (often referred to as the tangent operator ...
Andreas Müller
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

Experimental Design and Predictive Modeling of Hybrid Jute/Kenaf/Glass Fiber Polymer Composites With SiC Nanoparticles for Enhanced Flexural and Hardness Performance

Engineering Reports, Volume 8, Issue 3, March 2026.
Hybrid composites of jute, kenaf, and glass fibers with SiC nanoparticles were optimized using RSM and ANN. Optimal configuration improved flexural strength by 18% and hardness by 32%, demonstrating machine‐learning‐guided design for superior structural performance.
Solairaju Jothi Arunachalam, R. Saravanan, Sathish Thanikodi, G. Vinuja, Feras Alnaimat, A. Anderson, A. Johnson Santhosh   +6 more
wiley   +1 more source

Lagrangian Acceleration as a Diagnostic for Wave Breaking in the Nearshore Zone

Journal of Geophysical Research: Oceans, Volume 131, Issue 3, March 2026.
Abstract This study focuses on evaluating the Lagrangian downward acceleration of fluid particles near the wavecrest as a dynamic criterion for identification of wave breaking in shallow water. The use of the downward acceleration as an indicator for wave breaking goes back to the work of Longuet‐Higgins (1963), https://doi.org/10.1017 ...
Rosa Maria Vargas‐Magaña, Henrik Kalisch, Marc Buckley, Maria Bjørnestad, Tessa Gronemann, Karoline Holand, Jochen Horstmann, Michael Streßer, Sébastien Fromenteau   +8 more
wiley   +1 more source

Old and New Identities for Bernoulli Polynomials via Fourier Series

International Journal of Mathematics and Mathematical Sciences, 2012
The Bernoulli polynomials Bk restricted to [0,1) and extended by periodicity have nth sine and cosine Fourier coefficients of the form Ck/nk. In general, the Fourier coefficients of any polynomial restricted to [0,1) are linear combinations of terms of ...
Luis M. Navas, Francisco J. Ruiz, Juan L. Varona   +2 more
doaj   +1 more source

Advances in Delamination Analysis and Damage Prediction: A Comprehensive Review on Polymer Composite Materials

Engineering Reports, Volume 8, Issue 2, February 2026.
This comprehensive study advances delamination analysis in composites through innovative computational methods, experimental validation techniques, and predictive algorithms, collectively enhancing damage progression prediction and structural health monitoring for improved integrity in high‐performance applications.
Dhivya Elumalai, Ananda Babu Arumugam, Yitbarek Gashaw Tadesse, Mesfin Kebede Kassa, Mohit Gupta   +4 more
wiley   +1 more source