Results 111 to 120 of about 852,038 (290)
Some Formulae for the Product of Two Bernoulli and Euler Polynomials
Abstract and Applied Analysis, 2012 We investigate some formulae for the product of two Bernoulli and Euler polynomials arising from the Euler and Bernoulli basis polynomials.
D. S. Kim +3 more
doaj +1 more source
Degenerate Bell polynomials associated with umbral calculus
Journal of Inequalities and Applications, 2020 Carlitz initiated a study of degenerate Bernoulli and Euler numbers and polynomials which is the pioneering work on degenerate versions of special numbers and polynomials.
Taekyun Kim +4 more
doaj +1 more source
Exact Robust Filtering and Differentiation Based on Sliding Modes and Homogeneity
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This article addresses the problem of online estimation of the derivatives of a signal corrupted by measurement noise. The measured signal is modeled as the sum of a smooth nominal component and a uniformly bounded noise term. A key objective is to attenuate the effect of high‐frequency noise.
Jaime A. Moreno, Arie Levant
wiley +1 more source
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
doaj +1 more source
On the 𝑞-Euler Numbers and Polynomials with Weight 0
Abstract and Applied Analysis, 2012 The purpose of this paper is to investigate some properties of 𝑞-Euler numbers and polynomials with weight 0. From those 𝑞-Euler numbers with weight 0, we derive some identities on the 𝑞-Euler numbers and polynomials with weight 0.
T. Kim, J. Choi
doaj +1 more source
Smart Molecules, EarlyView.AI is transforming TPD by improving the design, prediction, and optimization of degraders such as PROTACs, molecular glues, and LYTACs. This review summarizes key AI‐driven advances, highlights applications across drug discovery stages, and discusses remaining challenges and future directions for accelerating the development of therapies against ...
Shuanglin Qin +10 more
wiley +1 more source
A New Class of Hermite-Apostol Type Frobenius-Euler Polynomials and Its Applications
Symmetry, 2018 The article is written with the objectives to introduce a multi-variable hybrid class, namely the Hermite–Apostol-type Frobenius–Euler polynomials, and to characterize their properties via different generating function techniques.
S. Araci +3 more
semanticscholar +1 more source
Sampling zeros and the Euler-Frobenius polynomials
Proceedings of the 36th IEEE Conference on Decision and Control, 2001 Summary: In this note, we show that the zeros of sampled-data systems resulting from rapid sampling of continuous-time systems preceded by a zero-order hold (ZOH) are the roots of Euler-Frobenius polynomials. Using known properties of these polynomials, we prove two conjectures of Hagiwara and coworkers, the first of which concerns the simplicity ...
Steven R. Weller +3 more
openaire +4 more sources
The Möbius inversion formula for Fourier series applied to Bernoulli and Euler polynomials [PDF]
, 2011 Hurwitz found the Fourier expansion of the Bernoulli polynomials over a century ago. In general, Fourier analysis can be fruitfully employed to obtain properties of the Bernoulli polynomials and related functions in a simple manner. In addition, applying
Ruiz, Francisco J. +4 more
core +1 more source
Small Methods, EarlyView.For the observation of micromechanical devices, a fast imaging technique with high temporal resolution is needed. Here, we demonstrate that a standard scanning electron microscope can be converted into a time‐resolving instrument using a fast detector and a time‐to‐digital converter.
Joel Rehmann +4 more
wiley +1 more source