Results 41 to 50 of about 280 (174)
On the degenerate Forbenius-Euler polynomials
, 2015 In this paper, we consider the degenerate Frobenius-Euler polynomials and investigate some identities of these polynomials.
Kim, Taekyun +2 more
openaire +2 more sources
Some Relations of Two Type 2 Polynomials and Discrete Harmonic Numbers and Polynomials
, 2020 Harmonic numbers appear, for example, in many expressions involving Riemann zeta functions. Here, among other things, we introduce and study discrete versions of those numbers, namely the discrete harmonic numbers. The aim of this paper is twofold.
Dae San Kim, Taekyun Kim
core +1 more source
Degenerate Euler–Seidel method for degenerate Bernoulli, Euler, and Genocchi polynomials
Networks and Heterogeneous MediaThis paper introduces a degenerate version of the Euler-Seidel method by incorporating a parameter lambda into the classical recurrence relation. We define a degenerate Euler-Seidel matrix associated with an initial sequence and establish corresponding lambda-generalized binomial identities and generating function relations.
Taekyun Kim +3 more
openaire +3 more sources
A note on degenerate poly-Genocchi numbers and polynomials
Advances in Difference Equations, 2020 Recently, some mathematicians have been studying a lot of degenerate versions of special polynomials and numbers in some arithmetic and combinatorial aspects. Our research is also interested in this field.
Hye Kyung Kim, Lee-Chae Jang
doaj +1 more source
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 degenerate Euler polynomials.
Taekyun Kim, Dae San Kim
openaire +2 more sources
A Look at Generalized Degenerate Bernoulli and Euler Matrices
Mathematics, 2023 In this paper, we consider the generalized degenerate Bernoulli/Euler polynomial matrices and study some algebraic properties for them. In particular, we focus our attention on some matrix-inversion formulae involving these matrices.
Juan Hernández +2 more
doaj +1 more source
Degenerate 2D bivariate Appell polynomials: properties and applications
Applied Mathematics in Science and Engineering, 2023 The development of certain aspects of hybrid special polynomials after incorporating monomiality principle, operational rules, and other properties and their aspects is obvious and indisputable.
Shahid Ahmad Wani +2 more
doaj +1 more source
New Classes of Degenerate Unified Polynomials
Axioms, 2022 In this paper, we introduce a class of new classes of degenerate unified polynomials and we show some algebraic and differential properties. This class includes the Appell-type classical polynomials and their most relevant generalizations.
Daniel Bedoya +3 more
doaj +1 more source
Higher-order degenerate Euler polynomials
Applied Mathematical Sciences, 2015 In this paper, by considering higher-order degenerate Euler polynomials which were introduced by Carlitz, we investigate some properties of those polynomials. From the properties of Sheffer sequences of these polynomials arising from umbral calculus, we derive some new and interesting identities.
Dae San Kim, Taekyun Kim
openaire +1 more source
Advanced Science, EarlyView.This study combines full‐field tomography with diffraction mapping to quantify radial (ε002$\varepsilon _{002}$) and axial (ε100$\varepsilon _{100}$) lattice strain in wrinkled carbon‐fiber specimens for the first time. Radial microstrain gradients (−14.5 µεMPa$\varepsilon \mathrm{MPa}$−1) are found to signal damage‐prone zones ahead of failure, which ...
Hoang Minh Luong +7 more
wiley +1 more source