Results 1 to 10 of about 2,037 (242)

Some Identities on Bernstein Polynomials Associated with 𝑞-Euler Polynomials [PDF]

Abstract and Applied Analysis, 2011
We investigate some interesting properties of the 𝑞-Euler polynomials. The purpose of this paper is to give some relationships between Bernstein and 𝑞-Euler polynomials, which are derived by the 𝑝-adic integral representation of the Bernstein polynomials
A. Bayad, T. Kim, B. Lee, S.-H. Rim
doaj   +7 more sources

Some identities related to degenerate Bernoulli and degenerate Euler polynomials

Mathematical and Computer Modelling of Dynamical Systems
The aim of this paper is to study degenerate Bernoulli and degenerate Euler polynomials and numbers and their higher-order analogues. We express the degenerate Euler polynomials in terms of the degenerate Bernoulli polynomials and vice versa.
Taekyun Kim, Dae San Kim
exaly   +4 more sources

New Formulas and Connections Involving Euler Polynomials

Axioms, 2022
The major goal of the current article is to create new formulas and connections between several well-known polynomials and the Euler polynomials. These formulas are developed using some of these polynomials’ well-known fundamental characteristics as well
Waleed Mohamed Abd-Elhameed, Amr Kamel Amin   +1 more
doaj   +2 more sources

A note on the Bernoulli and Euler polynomials

Applied Mathematics Letters, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gi-Sang Cheon
exaly   +3 more sources

Generating Functions for q-Apostol Type Frobenius–Euler Numbers and Polynomials

Axioms, 2012
The aim of this paper is to construct generating functions, related to nonnegative real parameters, for q-Eulerian type polynomials and numbers (or q-Apostol type Frobenius–Euler polynomials and numbers).
Yilmaz Simsek
exaly   +3 more sources

Some Identities Involving the Fubini Polynomials and Euler Polynomials

Mathematics, 2018
In this paper, we first introduce a new second-order non-linear recursive polynomials U h , i ( x ) , and then use these recursive polynomials, the properties of the power series and the combinatorial methods to prove some identities involving the Fubini polynomials, Euler polynomials and Euler numbers.
Guohui Chen, Li Chen
exaly   +4 more sources

Truncated euler polynomials [PDF]

Mathematica Slovaca, 2018
Abstract We define a truncated Euler polynomial E m,n (x) as a generalization of the classical Euler polynomial En (x). In this paper we give its some properties and relations with the hypergeometric Bernoulli polynomial.
Komatsu, Takao, Pita-Ruiz, Claudio
openaire   +2 more sources

Some Relationships between the Analogs of Euler Numbers and Polynomials

Journal of Inequalities and Applications, 2007
We construct new twisted Euler polynomials and numbers. We also study the generating functions of the twisted Euler numbers and polynomials associated with their interpolation functions.
C. S. Ryoo, Lee-Chae Jang, T. Kim
doaj   +2 more sources

Symmetric Identities for Euler Polynomials [PDF]

Graphs and Combinatorics, 2010
9 pages. Accepted by Graphs and Combinatorics.
Yong Zhang, Zhi-Wei Sun, Hao Pan
openaire   +2 more sources

On generalized degenerate Euler–Genocchi polynomials

Applied Mathematics in Science and Engineering, 2023
We introduce the generalized degenerate Euler–Genocchi polynomials as a degenerate version of the Euler–Genocchi polynomials. In addition, we introduce their higher-order version, namely the generalized degenerate Euler–Genocchi polynomials of order α ...
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj   +1 more source