Results 11 to 20 of about 280 (174)
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. This has been done by considering the degenerate Euler polynomials of a complex variable.
Dae Kim, Taekyun Kim, Hyunseok Lee
exaly +4 more sources
A Note on Type 2 Degenerate q-Euler Polynomials [PDF]
Mathematics, 2019 Recently, type 2 degenerate Euler polynomials and type 2 q-Euler polynomials were studied, respectively, as degenerate versions of the type 2 Euler polynomials as well as a q-analog of the type 2 Euler polynomials.
Taekyun Kim +3 more
doaj +3 more sources
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. Recently, by using the polyexponential function, a number of generalizations of some polynomials and numbers have been presented and investigated. Motivated by
Waseem Ahmad Khan +2 more
exaly +3 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 +4 more sources
On Degenerate Poly-Daehee Polynomials Arising from Lambda-Umbral Calculus
Journal of Mathematics, 2023 In this article, we derived various identities between the degenerate poly-Daehee polynomials and some special polynomials by using λ-umbral calculus by finding the coefficients when expressing degenerate poly-Daehee polynomials as a linear combination ...
Sang Jo Yun, Jin-Woo Park
doaj +2 more sources
Identities on Changhee Polynomials Arising from λ-Sheffer Sequences
Complexity, 2022 In this paper, authors found a new and interesting identity between Changhee polynomials and some degenerate polynomials such as degenerate Bernoulli polynomials of the first and second kind, degenerate Euler polynomials, degenerate Daehee polynomials ...
Byung Moon Kim +3 more
doaj +2 more sources
Approximate Roots and Properties of Differential Equations for Degenerate q-Special Polynomials
Mathematics, 2023 In this paper, we generate new degenerate quantum Euler polynomials (DQE polynomials), which are related to both degenerate Euler polynomials and q-Euler polynomials.
Jung-Yoog Kang, Cheon-Seoung Ryoo
doaj +2 more sources
Identities of Symmetry for the Generalized Degenerate Euler Polynomials [PDF]
, 2016 In this paper, we give some identities of symmetry for the generalized degenerate Euler polynomials attached to chi which are derived from the symmetric properties for certain fermionic p-adic integrals on Zp.
Kim, Dae san, Kim, Taekyun
openaire +3 more sources
Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials [PDF]
Journal of Inequalities and Applications, 2019 In this paper, we investigate some properties and identities for degenerate Euler polynomials in connection with degenerate Bernstein polynomials by means of fermionic p-adic integrals on Zp $\mathbb{Z}_{p}$ and generating functions.
Won Joo Kim +3 more
doaj +3 more sources
Some Identities of Degenerate Bell Polynomials
Mathematics, 2020 The new type degenerate of Bell polynomials and numbers were recently introduced, which are a degenerate version of Bell polynomials and numbers and are different from the previously introduced partially degenerate Bell polynomials and numbers.
Taekyun Kim +3 more
doaj +2 more sources