Results 11 to 20 of about 27,129 (189)
A Note on Degenerate Euler and Bernoulli Polynomials of Complex Variable [PDF]
Symmetry, 2019 Recently, the so-called new type Euler polynomials have been studied without considering Euler polynomials of a complex variable. Here we study degenerate versions of these new type Euler polynomials.
D S Kim, Hyunseok Lee
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Ordinary and degenerate Euler numbers and polynomials [PDF]
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 +3 more sources
Type 2 Degenerate Poly-Euler Polynomials [PDF]
Symmetry, 2020 In recent years, many mathematicians have studied the degenerate versions of many special polynomials and numbers. The polyexponential functions were introduced by Hardy and rediscovered by Kim, as inverses to the polylogarithms functions.
D. Lee, Hye Kyung Kim, L. Jang
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On Type 2 Degenerate Poly-Frobenius-Euler Polynomials
Recoletos Multidisciplinary Research JournalBackground: This paper introduces a class of special polynomials called Type 2 degenerate poly-Frobenius-Euler polynomials, defined using the polyexponential function. Motivated by the expanding theory of degenerate versions of classical polynomials, the
Roberto B. Corcino +2 more
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Note on the Type 2 Degenerate Multi-Poly-Euler Polynomials [PDF]
Symmetry, 2020 Kim and Kim (Russ. J. Math. Phys. 26, 2019, 40-49) introduced polyexponential function as an inverse to the polylogarithm function and by this, constructed a new type poly-Bernoulli polynomials.
Waseem Ahmad Khan +2 more
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Representation by degenerate Frobenius–Euler polynomials [PDF]
Georgian Mathematical Journal, 2021 The aim of this paper is to represent any polynomial in terms of degenerate Frobenius–Euler polynomials and, more generally, of higher-order degenerate Frobenius–Euler polynomials.
Taekyun Kim, Dae San Kim
semanticscholar +3 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 +3 more sources
Symmetric identities of higher-order degenerate Euler polynomials [PDF]
Journal of Nonlinear Sciences and Applications, 2016 The purpose of this paper is to give some symmetric identities of higher-order degenerate Euler polynomials derived from the symmetric properties of the multivariate p-adic fermionic integrals on Zp.
Dae San Kim, Taekyun Kim
semanticscholar +5 more sources
A Note on Degenerate Bernstein and Degenerate Euler Polynomials
, 2018 In this paper, we investigate the recently introduced degenerate Bernstein polynomials and operators and derive some of their properties. Also, we give some properties of the degenerate Euler numbers and polynomials and their connection with the ...
Taekyun Kim, Dae San Kim
semanticscholar +3 more sources
Symmetry, 2021 In this paper, we define a new form of Carlitz’s type degenerate twisted (p,q)-Euler numbers and polynomials by generalizing the degenerate Euler numbers and polynomials, Carlitz’s type degenerate q-Euler numbers and polynomials.
C. Ryoo
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