Results 1 to 10 of about 852,038 (290)
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 ...
Waseem Ahmad Khan
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New Biparametric Families of Apostol-Frobenius-Euler Polynomials level-m [PDF]
Математичні Студії, 2021 We introduce two biparametric families of Apostol-Frobenius-Euler polynomials of level-$m$. We give some algebraic properties, as well as some other identities which connect these polynomial class with the generalized $\lambda$-Stirling type numbers of ...
D. Bedoya +3 more
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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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Some identities related to degenerate Bernoulli and degenerate Euler polynomials
Mathematical and Computer Modelling of Dynamical SystemsThe 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, Jongkyum Kwon
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Fourier expansion and integral representation generalized Apostol-type Frobenius–Euler polynomials [PDF]
Advances in Difference Equations, 2020 The main purpose of this paper is to investigate the Fourier series representation of the generalized Apostol-type Frobenius–Euler polynomials, and using the above-mentioned series we find its integral representation.
Alejandro Urieles +3 more
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Construction on the Degenerate Poly-Frobenius-Euler Polynomials of Complex Variable
Journal of Function Spaces, 2021 In this paper, we introduce degenerate poly-Frobenius-Euler polynomials and derive some identities of these polynomials. We give some relationships between degenerate poly-Frobenius-Euler polynomials and degenerate Whitney numbers and Stirling numbers of
Ghulam Muhiuddin +2 more
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On type 2 degenerate Bernoulli and Euler polynomials of complex variable [PDF]
Advances in Difference Equations, 2019 Recently, Masjed-Jamei, Beyki, and Koepf studied the so-called new type Euler polynomials without using Euler polynomials of complex variable. Here we study the type 2 degenerate cosine-Euler and type 2 degenerate sine-Euler polynomials, which are type 2
Taekyun Kim +3 more
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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
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Truncated euler polynomials [PDF]
Mathematica Slovaca, 2018 We define a truncated Euler polynomial Em,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.
T. Komatsu, C. Pita-Ruiz
semanticscholar +4 more sources
Convolutions of Bernoulli and Euler Polynomials
Sarajevo Journal of MathematicsBy means of the generating function technique, several convolution identities are derived for the polynomials of Bernoulli and Euler. 2000 Mathematics Subject Classification.
W. Chu, R. R. Zhou
semanticscholar +3 more sources