Results 21 to 30 of about 219,144 (225)
Matrix Approach to Frobenius-Euler Polynomials [PDF]
, 2014 In the last two years Frobenius-Euler polynomials have gained renewed interest and were studied by several authors. This paper presents a novel approach to these polynomials by treating them as Appell polynomials. This allows to apply an elementary matrix representation based on a nilpotent creation matrix for proving some of the main properties of ...
Graça Tomaz, Helmuth R. Malonek
openaire +4 more sources
Bernoulli and euler polynomials [PDF]
, 2013 ABSTRACT: This thesis provides an overview of Bernoulli and Euler numbers. It describes the Bernoulli and Euler polynomials and investigates the relationship between the classes of the two polynomials. It also discusses some important identities using the _nite di_erence calculus and di_erentiation.
Çatma, Güneş
openaire +2 more sources
Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials [PDF]
, 2002 In this paper, concepts of the generalized Bernoulli and Euler numbers and polynomials are introduced, and some relationships between them are ...
Qi, Feng, Luo, Qiu-Ming
core +6 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
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
Identities for generalized Euler polynomials [PDF]
Integral Transforms and Special Functions, 2014 For $N \in \mathbb{N}$, let $T_{N}$ be the Chebyshev polynomial of the first kind. Expressions for the sequence of numbers $p_{\ell}^{(N)}$, defined as the coefficients in the expansion of $1/T_{N}(1/z)$, are provided. These coefficients give formulas for the classical Euler polynomials in terms of the so-called generalized Euler polynomials.
Vignat, Christophe +2 more
openaire +3 more sources
On Apostol-Type Hermite Degenerated Polynomials [PDF]
, 2023 This article presents a generalization of new classes of degenerated Apostol–Bernoulli, Apostol–Euler, and Apostol–Genocchi Hermite polynomials of level m.
Stiven Díaz +9 more
core +1 more source
Roots of the Euler polynomials [PDF]
Pacific Journal of Mathematics, 1976 In this paper we prove some new theorems about the real and complex roots of the Euler polynomials. For each n we show how the real roots of En(x) are distributed in the closed interval [1, 3]. We also show how the real roots of En(x) are distributed in the arbitrary interval [m, m + 1] for n sufficiently large.
openaire +2 more sources
Degenerate q-Euler polynomials [PDF]
Advances in Difference Equations, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, Taekyun +2 more
openaire +3 more sources
Ordinary and degenerate Euler numbers and polynomials
Journal of Inequalities and Applications, 2019 In this paper, we study some identities on Euler numbers and polynomials, and those on degenerate Euler numbers and polynomials which are derived from the fermionic p-adic integrals on Zp $\mathbb{Z}_{p}$.
Taekyun Kim +3 more
doaj +1 more source