Special Issue "The 33rd International Conference of The Jangjeon Mathematical Society (ICJMS2020) will be held at Hasanuddin University, Makassar, Indonesia"

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics and Symmetry".

Deadline for manuscript submissions: 31 July 2021.

Special Issue Editor

Special Issue Information

Dear Colleagues,

We would like to announce that in 2020, the Journal Symmetry will publish an additional Special Issue for the 33rd Congress of the Jangjeon Mathematical Society (ICJMS2020), which will be held at Hasanuddin University, Makassar, Indonesia. The papers presented at this conference will be considered for publication in this Special Issue by the Guest Editors. We would like to invite all the authors to this conference and to contribute to this Special Issue by submitting their work to Symmetry on the following subjects: pure and computational and applied mathematics and statistics, and mathematical physics (related to p-adic analysis, umbral algebra, and their applications).

(see: http://icjms2020.sci.unhas.ac.id/,

https://euro-math-soc.eu/event/tue-30-jun-20-0900/33st-international-conference-jangjeon-mathematical-society-icjms2020)

Prof. Taekyun Kim
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1800 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Analysis
  • Algebra
  • Linear and multilinear algebra
  • Clifford algebras and applications
  • Real and complex functions
  • Orthogonal polynomials
  • Special numbers and functions
  • Fractional calculus and q-theory
  • Number theory and combinatorics
  • Approximation theory and optimization
  • Integral transformations, equations, and operational calculus
  • Partial differential equations
  • Geometry and its applications
  • Numerical methods and algorithms
  • Probability and statistics and their applications
  • Scientific computation
  • Mathematical methods in physics and in engineering
  • Mathematical geosciences

Published Papers (8 papers)

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Research

Article
Monitoring Persistence Change in Heavy-Tailed Observations
Symmetry 2021, 13(6), 936; https://doi.org/10.3390/sym13060936 - 25 May 2021
Viewed by 210
Abstract
In this paper, a ratio test based on bootstrap approximation is proposed to detect the persistence change in heavy-tailed observations. This paper focuses on the symmetry testing problems of I(1)-to-I(0) and I(0)-to-I(1). On the basis of residual CUSUM, the test statistic is constructed in a ratio form. I prove the null distribution of the test statistic. The consistency under alternative hypothesis is also discussed. However, the null distribution of the test statistic contains an unknown tail index. To address this challenge, I present a bootstrap approximation method for determining the rejection region of this test. Simulation studies of artificial data are conducted to assess the finite sample performance, which shows that our method is better than the kernel method in all listed cases. The analysis of real data also demonstrates the excellent performance of this method. Full article
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Article
Some Identities of the Degenerate Higher Order Derangement Polynomials and Numbers
Symmetry 2021, 13(2), 176; https://doi.org/10.3390/sym13020176 - 22 Jan 2021
Viewed by 298
Abstract
Recently, Kim-Kim (J. Math. Anal. Appl. (2021), Vol. 493(1), 124521) introduced the λ-Sheffer sequence and the degenerate Sheffer sequence. In addition, Kim et al. (arXiv:2011.08535v1 17 November 2020) studied the degenerate derangement polynomials and numbers, and investigated some properties of those polynomials without using degenerate umbral calculus. In this paper, the y the degenerate derangement polynomials of order s (sN) and give a combinatorial meaning about higher order derangement numbers. In addition, the author gives some interesting identities related to the degenerate derangement polynomials of order s and special polynomials and numbers by using degenerate Sheffer sequences, and at the same time derive the inversion formulas of these identities. Full article
Article
On the Recurrence Properties of Narayana’s Cows Sequence
by
Symmetry 2021, 13(1), 149; https://doi.org/10.3390/sym13010149 - 17 Jan 2021
Cited by 1 | Viewed by 523
Abstract
In this paper, we consider the recurrence properties of two generalized forms of Narayana’s cows sequence. On the one hand, we study Narayana’s cows sequence at negative indices and express it as the linear combination of the sequence at positive indices. On the [...] Read more.
In this paper, we consider the recurrence properties of two generalized forms of Narayana’s cows sequence. On the one hand, we study Narayana’s cows sequence at negative indices and express it as the linear combination of the sequence at positive indices. On the other hand, we study the convolved Narayana number and obtain a computation formula for it. Full article
Article
Mean Value of the General Dedekind Sums over Interval \({[1,\frac{q}{p})}\)
Symmetry 2020, 12(12), 2079; https://doi.org/10.3390/sym12122079 - 15 Dec 2020
Viewed by 442
Abstract
Let q>2 be a prime, p be a given prime with p<q. The main purpose of this paper is using transforms, the hybrid mean value of Dirichlet L-functions with character sums and the related properties of character sums to study the mean value of the general Dedekind sums over interval [1,qp), and give some interesting asymptotic formulae. Full article
Article
A Note on the Degenerate Poly-Cauchy Polynomials and Numbers of the Second Kind
Symmetry 2020, 12(7), 1066; https://doi.org/10.3390/sym12071066 - 28 Jun 2020
Viewed by 441
Abstract
In this paper, we consider the degenerate Cauchy numbers of the second kind were defined by Kim (2015). By using modified polyexponential functions, first introduced by Kim-Kim (2019), we define the degenerate poly-Cauchy polynomials and numbers of the second kind and investigate some [...] Read more.
In this paper, we consider the degenerate Cauchy numbers of the second kind were defined by Kim (2015). By using modified polyexponential functions, first introduced by Kim-Kim (2019), we define the degenerate poly-Cauchy polynomials and numbers of the second kind and investigate some identities and relationship between various polynomials and the degenerate poly-Cauchy polynomials of the second kind. Using this as a basis of further research, we define the degenerate unipoly-Cauchy polynomials of the second kind and illustrate their important identities. Full article
Article
Type 2 Degenerate Poly-Euler Polynomials
Symmetry 2020, 12(6), 1011; https://doi.org/10.3390/sym12061011 - 15 Jun 2020
Cited by 6 | Viewed by 539
Abstract
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. The paper is divided two parts. First, we introduce a [...] Read more.
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. The paper is divided two parts. First, we introduce a new type of the type 2 poly-Euler polynomials and numbers constructed from the modified polyexponential function, the so-called type 2 poly-Euler polynomials and numbers. We show various expressions and identities for these polynomials and numbers. Some of them involving the (poly) Euler polynomials and another special numbers and polynomials such as (poly) Bernoulli polynomials, the Stirling numbers of the first kind, the Stirling numbers of the second kind, etc. In final section, we introduce a new type of the type 2 degenerate poly-Euler polynomials and the numbers defined in the previous section. We give explicit expressions and identities involving those polynomials in a similar direction to the previous section. Full article
Article
Some Relations of Two Type 2 Polynomials and Discrete Harmonic Numbers and Polynomials
Symmetry 2020, 12(6), 905; https://doi.org/10.3390/sym12060905 - 01 Jun 2020
Cited by 5 | Viewed by 504
Abstract
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. The first is to find several [...] Read more.
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. The first is to find several relations between the Type 2 higher-order degenerate Euler polynomials and the Type 2 high-order Changhee polynomials in connection with the degenerate Stirling numbers of both kinds and Jindalrae–Stirling numbers of both kinds. The second is to define the discrete harmonic numbers and some related polynomials and numbers, and to derive their explicit expressions and an identity. Full article
Article
On the Chebyshev Polynomials and Some of Their Reciprocal Sums
Symmetry 2020, 12(5), 704; https://doi.org/10.3390/sym12050704 - 02 May 2020
Cited by 1 | Viewed by 598
Abstract
In this paper, we utilize the mathematical induction, the properties of symmetric polynomial sequences and Chebyshev polynomials to study the calculating problems of a certain reciprocal sums of Chebyshev polynomials, and give two interesting identities for them. These formulae not only reveal the [...] Read more.
In this paper, we utilize the mathematical induction, the properties of symmetric polynomial sequences and Chebyshev polynomials to study the calculating problems of a certain reciprocal sums of Chebyshev polynomials, and give two interesting identities for them. These formulae not only reveal the close relationship between the trigonometric function and the Riemann ζ-function, but also generalized some existing results. At the same time, an error in an existing reference is corrected. Full article
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