Results 11 to 20 of about 68,130 (264)
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.
Jiu, Lin, Moll, Victor H., Vignat, C.
core +4 more sources
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 +5 more sources
On the Zero Attractor of the Euler Polynomials [PDF]
Advances in Applied Mathematics, 2004 34 pages, 6 ...
William M. Y. Goh, Robert P. Boyer
openalex +4 more sources
Umbral calculus and Euler polynomials
Ars Comb., 2012 In this paper, we study some properties of Euler polynomials arising from umbral calculus. Finally, we give some interesting identities of Euler polynomials using our results. Recently, Dere and Simsek have studied umbral calculus related to special polynomials (see[6]).
Dae San Kim, Taekyun Kim, Seog-Hoon Rim
openalex +5 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
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
openalex +3 more sources
Analytic Continuation of Euler Polynomials and the Euler Zeta Function [PDF]
Discrete Dynamics in Nature and Society, 2014 We study that the Euler numbersEnand Euler polynomialsEnzare analytically continued toEsandE(s,w). We investigate the new concept of dynamics of the zeros of analytica continued polynomials. Finally, we observe an interesting phenomenon of “scattering” of the zeros ofE(s,w).
C. S. Ryoo
openalex +5 more sources
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