Results 61 to 70 of about 7,881 (187)

A note on (p, q)-analogue type of Fubini numbers and polynomials

AIMS Mathematics, 2020
In this paper, we introduce a new class of (p, q)-analogue type of Fubini numbers and polynomials and investigate some properties of these polynomials. We establish summation formulas of these polynomials by summation techniques series.
Waseem Ahmad Khan, Kottakkaran Sooppy Nisar, Dumitru Baleanu   +2 more
doaj   +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

Effect of Grouting Pressure and Nozzle Diameter on the Diffusion Mechanism of Jet Grouting: A CFD–DEM Study

Advances in Civil Engineering, Volume 2026, Issue 1, 2026.
Grouting diffusion range is the key to evaluate the grouting effect. In this study, a theoretical model of noncohesive sediment erosion damage was established, and the main parameters affecting erosion were qualitatively analyzed. Secondly, based on the computational fluid dynamics (CFD)–discrete element method (DEM) coupling method, the effect of ...
Xiangyang Liu, Mingxing Yi, Lei Zhang, Chao Feng, Siva Avudaiappan   +4 more
wiley   +1 more source

Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE

Communications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2247-2304, December 2025.
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun, Seong‐Mi Seo, Meng Yang   +2 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

Launch Uncertainty Analysis Under Barrel Erosion Using Experiments and Random Matrix Theory

International Journal of Mechanical System Dynamics, Volume 5, Issue 4, Page 762-774, December 2025.
ABSTRACT The effects of barrel erosion on artillery firing performance have long been a subject of concern, but its effect on launch uncertainty has yet to be investigated. This article explores the influence of barrel erosion on the interior ballistic mechanical properties and launch disturbances.
Chengyuan Guo, Guolai Yang, Liqun Wang, Jianli Ge, Qingle Wu, Hao Guo   +5 more
wiley   +1 more source

Enhancing SHM with the extension of the deformation area difference method into the strain area difference method

Structural Concrete, Volume 26, Issue 5, Page 5555-5577, October 2025.
Abstract This study contributes to the fields of nondestructive testing (NDT) and structural health monitoring (SHM), which are pivotal for extending the service life of infrastructure and aligning with sustainability goals in construction. The study emphasizes an advanced application of the deformation area difference (DAD) Method, focusing on the ...
Tarik Čamo, Eftychia Apostolidi, Danièle Waldmann   +2 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

Crossing estimates for the Ising model on general s‐embeddings

Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.
Abstract We prove Russo–Seymour–Welsh‐type crossing estimates for the FK–Ising model on general s‐embeddings whose origami map has an asymptotic Lipschitz constant strictly smaller than 1, provided it satisfies a mild non‐degeneracy assumption. This result extends the work of Chelkak and provides a general framework to prove that the usual connection ...
Rémy Mahfouf
wiley   +1 more source

Exploring probabilistic Bernstein polynomials: identities and applications

Applied Mathematics in Science and Engineering
In this paper, we introduce the probabilistic Bernstein polynomials and derive new and interesting correlations among several special functions and special number sequences such as Euler polynomials, Bernoulli polynomials of higher order, Frobenius–Euler
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source