Results 61 to 70 of about 7,952 (182)
Exploring probabilistic Bernstein polynomials: identities and applications
Applied Mathematics in Science and EngineeringIn 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 +2 more
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Some identities involving Bernoulli, Euler and degenerate Bernoulli numbers and their applications
Applied 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
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Mathematics, 2023 The purpose of this article is to give relations among the uniform B-splines, the Bernstein basis functions, and certain families of special numbers and polynomials with the aid of the generating functions method.
Yilmaz Simsek
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Engineering Reports, Volume 8, Issue 2, February 2026.A low‐cost clip gauge extensometer for crack mouth opening displacement was developed from accessible procedures and materials. Accuracy and repeatability comparable to commercial devices were demonstrated in calibration and fracture tests, enabling reliable measurement in CT specimens for resource‐constrained laboratories.
Isaías Chamorro‐Cruz +8 more
wiley +1 more source
The Zagier modification of Bernoulli numbers and a polynomial extension. Part I [PDF]
, 2012 The modified B_{n}^{*} = \sum_{r=0}^{n} \binom{n+r}{2r} \frac{B_{r}}{n+r}, \quad n > 0 introduced by D. Zagier in 1998 are extended to the polynomial case by replacing $B_{r}$ by the Bernoulli polynomials $B_{r}(x)$.
Dixit, Atul +2 more
core
Universality for fluctuations of counting statistics of random normal matrices
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We consider the fluctuations of the number of eigenvalues of n×n$n\times n$ random normal matrices depending on a potential Q$Q$ in a given set A$A$. The eigenvalues of random normal matrices are known to form a determinantal point process, and are known to accumulate on a compact set called the droplet under mild conditions on Q$Q$. When A$A$
Jordi Marzo +2 more
wiley +1 more source
One‐Dimensional Finite Elements With Arbitrary Cross‐Sectional Displacement Fields
International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.ABSTRACT This paper introduces an unprecedented unified approach for developing structural theories with an arbitrary kinematic variable over the beam cross‐section. Each of the three displacement variables can be analyzed using an independent expansion function. Both the order of the expansion and the number of terms in each field can be any. That is,
E. Carrera, D. Scano, E. Zappino
wiley +1 more source
Journal 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
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Some Identities for the Bernoulli, the Euler and the Genocchi Numbers and Polynomials
, 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
Advanced Theory and Simulations, Volume 9, Issue 1, January 2026.This study develops a superconvergent meshless method to analyze and control vibrations in twisted, bidirectional functionally graded Terfenol‐D beams. By optimizing magnetostrictive patch placement, it demonstrates effective vibration suppression under dynamic loads, highlighting the design potential of strategically graded materials in complex ...
Mukund A. Patil +2 more
wiley +1 more source