Results 21 to 30 of about 2,037 (242)
On Multiple Interpolation Functions of the Nörlund-Type q-Euler Polynomials [PDF]
Abstract and Applied Analysis, 2009 In (2006) and (2009), Kim defined new generating functions of the Genocchi, Nörlund-type q-Euler polynomials and their interpolation functions. In this paper, we give another definition of the multiple Hurwitz type q-zeta function.
Mehmet Acikgoz, Yilmaz Simsek
doaj +2 more sources
Identities of Symmetry for Higher-Order Generalized q-Euler Polynomials [PDF]
Abstract and Applied Analysis, 2014 We investigate the properties of symmetry in two variables related to multiple Euler q-l-function which interpolates higher-order q-Euler polynomials at negative integers.
D. V. Dolgy +3 more
doaj +2 more sources
Abstract and Applied Analysis, 2012 We investigate some properties and identities of Bernoulli and Euler polynomials. Further, we give some formulae on Bernoulli and Euler polynomials by using p-adic integral on ℤp.
D. S. Kim +4 more
doaj +2 more sources
A Note on Multi-Euler–Genocchi and Degenerate Multi-Euler–Genocchi Polynomials
Journal of Mathematics, 2023 Recently, the generalized Euler–Genocchi and generalized degenerate Euler–Genocchi polynomials are introduced. The aim of this note is to study the multi-Euler–Genocchi and degenerate multi-Euler–Genocchi polynomials which are defined by means of the ...
Taekyun Kim +3 more
doaj +1 more source
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
Mathematics, 2022 In this paper, we introduce new class of Bell-based Apostol-type Frobenius–Euler polynomials and investigate some properties of these polynomials. We derive some explicit and implicit summation formulas and their symmetric identities by using different ...
Noor Alam +2 more
doaj +1 more source
New generalized apostol-frobenius-euler polynomials and their matrix approach [PDF]
, 2021 In this paper, we introduce a new extension of the generalized Apostol-Frobenius-Euler polynomials ℋn[m−1,α](x; c,a; λ; u). We give some algebraic and differential properties, as well as, relationships between this polynomials class with other polynomials
Ramírez, William +2 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
Bernoulli F-polynomials and Fibo–Bernoulli matrices
Advances in Difference Equations, 2019 In this article, we define the Euler–Fibonacci numbers, polynomials and their exponential generating function. Several relations are established involving the Bernoulli F-polynomials, the Euler–Fibonacci numbers and the Euler–Fibonacci polynomials. A new
Semra Kuş, Naim Tuglu, Taekyun Kim
doaj +1 more source