Results 31 to 40 of about 209 (173)

Some New Identities on the Bernoulli and Euler Numbers

Discrete Dynamics in Nature and Society, 2011
We give some new identities on the Bernoulli and Euler numbers by using the bosonic p-adic integral on Zp and reflection symmetric properties of Bernoulli and Euler polynomials.
Dae San Kim, Taekyun Kim, Sang-Hun Lee, D. V. Dolgy, Seog-Hoon Rim   +4 more
doaj   +1 more source

New families of special numbers and polynomials arising from applications of p-adic q-integrals

Advances in Difference Equations, 2017
In this manuscript, generating functions are constructed for the new special families of polynomials and numbers using the p-adic q-integral technique. Partial derivative equations, functional equations and other properties of these generating functions ...
Daeyeoul Kim, Hacer Ozden Ayna, Yilmaz Simsek, Ahmet Yardimci   +3 more
doaj   +1 more source

A Parametric Kind of Fubini Polynomials of a Complex Variable

Mathematics, 2020
In this paper, we propose a parametric kind of Fubini polynomials by defining the two specific generating functions. We also investigate some analytical properties (for example, summation formulae, differential formulae and relationships with other well ...
Sunil Kumar Sharma, Waseem A. Khan, Cheon Seoung Ryoo   +2 more
doaj   +1 more source

Some new classes of degenerated generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials

Karpatsʹkì Matematičnì Publìkacìï, 2022
The aim of this paper is to study new classes of degenerated generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order $\alpha$ and level $m$ in the variable $x$. Here the degenerate polynomials are a natural extension of the
W. Ramírez, C. Cesarano
doaj   +1 more source

Vibration Attenuation of Cantilever Beam Using Electromagnetic Delayed Feedback

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This study presents a combined analytical and numerical investigation of a single‐input single‐output delayed feedback controller designed to suppress vibrations in a cantilever beam actuated by an electromagnet positioned beneath its free end. An analytical model was developed using the linearized equation of motion for a transversely excited
Mohammad Alabdullah, Khaled Alhazza
wiley   +1 more source

A note on degenerate poly-Genocchi numbers and polynomials

Advances in Difference Equations, 2020
Recently, some mathematicians have been studying a lot of degenerate versions of special polynomials and numbers in some arithmetic and combinatorial aspects. Our research is also interested in this field.
Hye Kyung Kim, Lee-Chae Jang
doaj   +1 more source

Two New Generalizations of Extended Bernoulli Polynomials and Numbers, and Umbral Calculus

Journal of Mathematics, 2022
Among a remarkably large number of various extensions of polynomials and numbers, and diverse introductions of new polynomials and numbers, in this paper, we choose to introduce two new generalizations of some extended Bernoulli polynomials and numbers ...
Nabiullah Khan, Mohd Ghayasuddin, Dojin Kim, Junesang Choi   +3 more
doaj   +1 more source

A Conversation With David Bellhouse

International Statistical Review, EarlyView.
Summary David Richard Bellhouse was born in Winnipeg, Manitoba, on 19 July 1948. He studied actuarial mathematics and statistics at the University of Manitoba (BA, 1970; MA, 1972) and completed his PhD at the University of Waterloo, Ontario, in 1975. After being an Assistant Professor for 1 year at his alma mater, he joined the University of Western ...
Christian Genest
wiley   +1 more source

Finite Element Approximation for a Reformulation of a 3D Fluid–2D Plate Interaction System

Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT We study a finite element approximation of a coupled fluid‐structure interaction consisting of a three‐dimensional incompressible viscous fluid governed by the unsteady Stokes equations and a two‐dimensional elastic plate. To avoid the use of H2−$$ {H}^2- $$conforming or nonconforming ℙ2$$ {\mathbb{P}}_2 $$‐Morley plate elements, the fourth ...
Lander Besabe, Hyesuk Lee
wiley   +1 more source

Probabilistic degenerate Bernoulli and degenerate Euler polynomials

Mathematical and Computer Modelling of Dynamical Systems
Recently, many authors have studied degenerate Bernoulli and degenerate Euler polynomials. Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin.
Lingling Luo, Taekyun Kim, Dae San Kim, Yuankui Ma   +3 more
doaj   +1 more source