Results 41 to 50 of about 7,952 (182)

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

On The Properties Of $q$-Bernstein-Type Polynomials

, 2014
The aim of this paper is to give a new approach to modified $q$-Bernstein polynomials for functions of several variables. By using these polynomials, the recurrence formulas and some new interesting identities related to the second Stirling numbers and ...
Acikgoz, Mehmet, Araci, Serkan, Bagdasaryan, Armen, Jolany, Hassan   +3 more
core   +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

Closed formulas and determinantal expressions for higher-order Bernoulli and Euler polynomials in terms of Stirling numbers [PDF]

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021
In this paper, applying the Faà di Bruno formula and some properties of Bell polynomials, several closed formulas and determinantal expressions involving Stirling numbers of the second kind for higher-order Bernoulli and Euler polynomials are presented.
openaire   +3 more sources

Shaped electrodes for adaptive X‐ray optics

Journal of Synchrotron Radiation, EarlyView.
For adaptive X‐ray optics on high‐performance beamline optical systems, we describe an approach to mirror figure and slope control using patterned, shaped electrodes to control the local curvature on a lithium niobate substrate from a single applied voltage. Longitudinally continuous electrode patterns achieve target shapes without discontinuities, and
Kenneth A. Goldberg, Francesco Marzari, Grant D. Cutler   +2 more
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

Derivatives of tangent function and tangent numbers

, 2015
In the paper, by induction, the Fa\`a di Bruno formula, and some techniques in the theory of complex functions, the author finds explicit formulas for higher order derivatives of the tangent and cotangent functions as well as powers of the sine and ...
Bourbaki, Boyadzhiev, Comtet, Daboul, Dominici, Feng Qi, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Hoffman, Hoffman, Luo, Luo, Ma, Ma, Ma, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Remmert, Schwatt, Schwatt, Wei, Xu, Zhang   +37 more
core   +1 more source

A modified polynomial-based approach to obtaining the eigenvalues of a uniform Euler–Bernoulli beam carrying any number of attachments

Journal of Vibration and Control, 2023
Free vibration characteristics in uniform beams with several lumped attachments are an important problem in engineering applications that have to deal with mounting different equipment (e.g. motors, oscillators or engines) on a structural beam. In order to solve the lack of a generalized automatic procedure, this investigation presents a simple ...
Aguilar, Cristina, Ruz, Mario L., Blanco-Rodríguez, Francisco J.   +2 more
openaire   +4 more sources

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