Results 1 to 10 of about 66,689 (211)
Generating Functions for q-Apostol Type Frobenius–Euler Numbers and Polynomials [PDF]
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
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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.
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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
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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
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A note on q-Euler numbers and polynomials [PDF]
Russian Journal of Mathematical Physics, 2006 The purpose of this paper is to construct q-Euler numbers and polynomials by using p-adic q-integral equations on Zp. Finally, we will give some interesting formulae related to these q-Euler numbers and polynomials.Comment: 6 ...
A. S. Hegazi +20 more
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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
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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 +1 more
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Degenerate q-Euler polynomials [PDF]
Advances in Difference Equations, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, Taekyun +2 more
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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
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Symmetric Identities for Euler Polynomials [PDF]
Graphs and Combinatorics, 2010 9 pages. Accepted by Graphs and Combinatorics.
Zhang, Yong, Sun, Zhi-Wei, Pan, Hao
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