Kyung-Won Hwang

Dong-A University

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Dong-A University

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Dong A University

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Kyung-Won Hwang has a total of 17 co-authors. Here are the top co-authors by number of shared publications:

Cheon Seoung Ryoo
Department of Mathematics, Hannam University, Daejeon 34430, Republic of Korea
9 shared publications
Dae San Kim
Department of Mathematics, Sogang University
1 shared publication
Dae San Kim
Sogang University
1 shared publication
Dmitry V. Dolgy
Hanrimwon, Kwangwoon University, Seoul, Republic of Korea
1 shared publication
Jong Jin Seo
Department of Applied Mathematics, Pukyong National University
1 shared publication
Ju-Mok Oh
Department of Mathematics, Kangnung-Wonju National University, Kangnung 210-702, Republic of Korea
1 shared publication

Latest Publications

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Cited by 1
- 7 January 2021
- Published by MDPI AG in Symmetry
Symmetric Properties for Dirichlet-Type Multiple (p,q)-L-Function
by Kyung-Won Hwang, Ravi P. Agarwal, Cheon-Seoung Ryoo
The main aim of this article is to investigate some interesting symmetric identities for the Dirichlet-type multiple $(p, q)$ -L function. We use this function to examine the symmetry of the generalized higher-order $(p, q)$ -Euler polynomials related to $χ$ . First, the generalized higher-order $(p, q)$ -Euler numbers and polynomials related to $χ$ are defined. We also give a few new symmetric properties for the Dirichlet-type multiple $(p, q)$ -L-function and generalized higher-order $(p, q)$ -Euler polynomials related to $χ$ .
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- 7 January 2021
- Published by MDPI AG in Symmetry
Open Access
Symmetric Properties for Dirichlet-Type Multiple (p,q)-L-Function
by Kyung-Won Hwang, Ravi P. Agarwal, Cheon-Seoung Ryoo
The main aim of this article is to investigate some interesting symmetric identities for the Dirichlet-type multiple $(p, q)$ -L function. We use this function to examine the symmetry of the generalized higher-order $(p, q)$ -Euler polynomials related to $χ$ . First, the generalized higher-order $(p, q)$ -Euler numbers and polynomials related to $χ$ are defined. We also give a few new symmetric properties for the Dirichlet-type multiple $(p, q)$ -L-function and generalized higher-order $(p, q)$ -Euler polynomials related to $χ$ .
Cited by 1
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Cited by 11
- 22 December 2020
- Published by MDPI AG in Symmetry
Explicit Identities for 3-Variable Degenerate Hermite Kampé de Fériet Polynomials and Differential Equation Derived from Generating Function
by Kyung-Won Hwang, Young-Soo Seol, Cheon-Seoung Ryoo
We get the 3-variable degenerate Hermite Kampé de Fériet polynomials and get symmetric identities for 3-variable degenerate Hermite Kampé de Fériet polynomials. We make differential equations coming from the generating functions of degenerate Hermite Kampé de Fériet polynomials to get some identities for 3-variable degenerate Hermite Kampé de Fériet polynomials,. Finally, we study the structure and symmetry of pattern about the zeros of the 3-variable degenerate Hermite Kampé de Fériet equations.
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- 22 December 2020
- Published by MDPI AG in Symmetry
Open Access
Explicit Identities for 3-Variable Degenerate Hermite Kampé de Fériet Polynomials and Differential Equation Derived from Generating Function
by Kyung-Won Hwang, Young-Soo Seol, Cheon-Seoung Ryoo
We get the 3-variable degenerate Hermite Kampé de Fériet polynomials and get symmetric identities for 3-variable degenerate Hermite Kampé de Fériet polynomials. We make differential equations coming from the generating functions of degenerate Hermite Kampé de Fériet polynomials to get some identities for 3-variable degenerate Hermite Kampé de Fériet polynomials,. Finally, we study the structure and symmetry of pattern about the zeros of the 3-variable degenerate Hermite Kampé de Fériet equations.
Cited by 11
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Cited by 6
- 20 April 2020
- Published by MDPI AG in Mathematics
Some Identities Involving Two-Variable Partially Degenerate Hermite Polynomials Induced from Differential Equations and Structure of Their Roots
by Kyung-Won Hwang, Cheon Seoung Ryoo
In this paper, we introduce two-variable partially degenerate Hermite polynomials and get some new symmetric identities for two-variable partially degenerate Hermite polynomials. We study differential equations induced from the generating functions of two-variable partially degenerate Hermite polynomials to give identities for two-variable partially degenerate Hermite polynomials. Finally, we study the symmetric properties of the structure of the roots of the two-variable partially degenerate Hermite equations.
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- 20 April 2020
- Published by MDPI AG in Mathematics
Open Access
Some Identities Involving Two-Variable Partially Degenerate Hermite Polynomials Induced from Differential Equations and Structure of Their Roots
by Kyung-Won Hwang, Cheon Seoung Ryoo
In this paper, we introduce two-variable partially degenerate Hermite polynomials and get some new symmetric identities for two-variable partially degenerate Hermite polynomials. We study differential equations induced from the generating functions of two-variable partially degenerate Hermite polynomials to give identities for two-variable partially degenerate Hermite polynomials. Finally, we study the symmetric properties of the structure of the roots of the two-variable partially degenerate Hermite equations.
Cited by 6
Open Access
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- 17 April 2020
- Published by MDPI AG in Symmetry
An Erdős-Ko-Rado Type Theorem via the Polynomial Method
by Kyung-Won Hwang, Younjin Kim, Naeem N. Sheikh
A family $F$ is an intersecting family if any two members have a nonempty intersection. Erdős, Ko, and Rado showed that $| F | \leq (\binom{n - 1}{k - 1})$ holds for a k-uniform intersecting family $F$ of subsets of $[n]$ . The Erdős-Ko-Rado theorem for non-uniform intersecting families of subsets of $[n]$ of size at most k can be easily proved by applying the above result to each uniform subfamily of a given family. It establishes that $| F | \leq (\binom{n - 1}{k - 1}) + (\binom{n - 1}{k - 2}) + \dots + (\binom{n - 1}{0})$ holds for non-uniform intersecting families of subsets of $[n]$ of size at most k. In this paper, we prove that the same upper bound of the Erdős-Ko-Rado Theorem for k-uniform intersecting families of subsets of $[n]$ holds also in the non-uniform family of subsets of $[n]$ of size at least k and at most $n - k$ with one more additional intersection condition. Our proof is based on the method of linearly independent polynomials.
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- 17 April 2020
- Published by MDPI AG in Symmetry
Open Access
An Erdős-Ko-Rado Type Theorem via the Polynomial Method
by Kyung-Won Hwang, Younjin Kim, Naeem N. Sheikh
A family $F$ is an intersecting family if any two members have a nonempty intersection. Erdős, Ko, and Rado showed that $| F | \leq (\binom{n - 1}{k - 1})$ holds for a k-uniform intersecting family $F$ of subsets of $[n]$ . The Erdős-Ko-Rado theorem for non-uniform intersecting families of subsets of $[n]$ of size at most k can be easily proved by applying the above result to each uniform subfamily of a given family. It establishes that $| F | \leq (\binom{n - 1}{k - 1}) + (\binom{n - 1}{k - 2}) + \dots + (\binom{n - 1}{0})$ holds for non-uniform intersecting families of subsets of $[n]$ of size at most k. In this paper, we prove that the same upper bound of the Erdős-Ko-Rado Theorem for k-uniform intersecting families of subsets of $[n]$ holds also in the non-uniform family of subsets of $[n]$ of size at least k and at most $n - k$ with one more additional intersection condition. Our proof is based on the method of linearly independent polynomials.
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Cited by 26
- 10 February 2020
- Published by MDPI AG in Mathematics
Differential Equations Associated with Two Variable Degenerate Hermite Polynomials
by Kyung-Won Hwang, Cheon Seoung Ryoo
In this paper, we introduce the two variable degenerate Hermite polynomials and obtain some new symmetric identities for two variable degenerate Hermite polynomials. In order to give explicit identities for two variable degenerate Hermite polynomials, differential equations arising from the generating functions of degenerate Hermite polynomials are studied. Finally, we investigate the structure and symmetry of the zeros of the two variable degenerate Hermite equations.
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- 10 February 2020
- Published by MDPI AG in Mathematics
Open Access
Differential Equations Associated with Two Variable Degenerate Hermite Polynomials
by Kyung-Won Hwang, Cheon Seoung Ryoo
In this paper, we introduce the two variable degenerate Hermite polynomials and obtain some new symmetric identities for two variable degenerate Hermite polynomials. In order to give explicit identities for two variable degenerate Hermite polynomials, differential equations arising from the generating functions of degenerate Hermite polynomials are studied. Finally, we investigate the structure and symmetry of the zeros of the two variable degenerate Hermite equations.
Cited by 26
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Cited by 3
- 9 December 2019
- Published by MDPI AG in Mathematics
Some Properties for Multiple Twisted (p, q)-L-Function and Carlitz’s Type Higher-Order Twisted (p, q)-Euler Polynomials
by Kyung-Won Hwang, Cheon Seoung Ryoo
The main goal of this paper is to study some interesting identities for the multiple twisted $(p, q)$ -L-function in a complex field. First, we construct new generating functions of the new Carlitz-type higher order twisted $(p, q)$ -Euler numbers and polynomials. By applying the Mellin transformation to these generating functions, we obtain integral representations of the multiple twisted $(p, q)$ -Euler zeta function and multiple twisted $(p, q)$ -L-function, which interpolate the Carlitz-type higher order twisted $(p, q)$ -Euler numbers and Carlitz-type higher order twisted $(p, q)$ -Euler polynomials at non-positive integers, respectively. Second, we get some explicit formulas and properties, which are related to Carlitz-type higher order twisted $(p, q)$ -Euler numbers and polynomials. Third, we give some new symmetric identities for the multiple twisted $(p, q)$ -L-function. Furthermore, we also obtain symmetric identities for Carlitz-type higher order twisted $(p, q)$ -Euler numbers and polynomials by using the symmetric property for the multiple twisted $(p, q)$ -L-function.
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- 9 December 2019
- Published by MDPI AG in Mathematics
Open Access
Some Properties for Multiple Twisted (p, q)-L-Function and Carlitz’s Type Higher-Order Twisted (p, q)-Euler Polynomials
by Kyung-Won Hwang, Cheon Seoung Ryoo
The main goal of this paper is to study some interesting identities for the multiple twisted $(p, q)$ -L-function in a complex field. First, we construct new generating functions of the new Carlitz-type higher order twisted $(p, q)$ -Euler numbers and polynomials. By applying the Mellin transformation to these generating functions, we obtain integral representations of the multiple twisted $(p, q)$ -Euler zeta function and multiple twisted $(p, q)$ -L-function, which interpolate the Carlitz-type higher order twisted $(p, q)$ -Euler numbers and Carlitz-type higher order twisted $(p, q)$ -Euler polynomials at non-positive integers, respectively. Second, we get some explicit formulas and properties, which are related to Carlitz-type higher order twisted $(p, q)$ -Euler numbers and polynomials. Third, we give some new symmetric identities for the multiple twisted $(p, q)$ -L-function. Furthermore, we also obtain symmetric identities for Carlitz-type higher order twisted $(p, q)$ -Euler numbers and polynomials by using the symmetric property for the multiple twisted $(p, q)$ -L-function.
Cited by 3
Open Access
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- 20 November 2019
- Published by MDPI AG in Symmetry
Symmetric Identities for Carlitz-Type Higher-Order Degenerate (p,q)-Euler Numbers and Polynomials
by Kyung-Won Hwang, Cheon Seoung Ryoo
The main goal of this paper is to investigate some interesting symmetric identities for Carlitz-type higher-order degenerate $(p, q)$ -Euler numbers, and polynomials. At first, the Carlitz-type higher-order degenerate $(p, q)$ -Euler numbers and polynomials are defined. We give few new symmetric identities for Carlitz-type higher-order degenerate $(p, q)$ -Euler numbers and polynomials.
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- 20 November 2019
- Published by MDPI AG in Symmetry
Open Access
Symmetric Identities for Carlitz-Type Higher-Order Degenerate (p,q)-Euler Numbers and Polynomials
by Kyung-Won Hwang, Cheon Seoung Ryoo
The main goal of this paper is to investigate some interesting symmetric identities for Carlitz-type higher-order degenerate $(p, q)$ -Euler numbers, and polynomials. At first, the Carlitz-type higher-order degenerate $(p, q)$ -Euler numbers and polynomials are defined. We give few new symmetric identities for Carlitz-type higher-order degenerate $(p, q)$ -Euler numbers and polynomials.
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Cited by 5
- 12 August 2019
- Published by MDPI AG in Mathematics
Differential Equations Arising from the Generating Function of the (r, β)-Bell Polynomials and Distribution of Zeros of Equations
by Kyung-Won Hwang, Cheon Seoung Ryoo, Nam Soon Jung
In this paper, we study differential equations arising from the generating function of the $(r, β)$ -Bell polynomials. We give explicit identities for the $(r, β)$ -Bell polynomials. Finally, we find the zeros of the $(r, β)$ -Bell equations with numerical experiments.
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- 12 August 2019
- Published by MDPI AG in Mathematics
Open Access
Differential Equations Arising from the Generating Function of the (r, β)-Bell Polynomials and Distribution of Zeros of Equations
by Kyung-Won Hwang, Cheon Seoung Ryoo, Nam Soon Jung
In this paper, we study differential equations arising from the generating function of the $(r, β)$ -Bell polynomials. We give explicit identities for the $(r, β)$ -Bell polynomials. Finally, we find the zeros of the $(r, β)$ -Bell equations with numerical experiments.
Cited by 5
Open Access
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Cited by 3
- 24 June 2019
- Published by MDPI AG in Symmetry
Some Symmetric Identities for Degenerate Carlitz-type (p, q)-Euler Numbers and Polynomials
by Kyung-Won Hwang, Cheon Seoung Ryoo
In this paper we define the degenerate Carlitz-type $(p, q)$ -Euler polynomials by generalizing the degenerate Euler numbers and polynomials, degenerate Carlitz-type q-Euler numbers and polynomials. We also give some theorems and exact formulas, which have a connection to degenerate Carlitz-type $(p, q)$ -Euler numbers and polynomials.
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- 24 June 2019
- Published by MDPI AG in Symmetry
Open Access
Some Symmetric Identities for Degenerate Carlitz-type (p, q)-Euler Numbers and Polynomials
by Kyung-Won Hwang, Cheon Seoung Ryoo
In this paper we define the degenerate Carlitz-type $(p, q)$ -Euler polynomials by generalizing the degenerate Euler numbers and polynomials, degenerate Carlitz-type q-Euler numbers and polynomials. We also give some theorems and exact formulas, which have a connection to degenerate Carlitz-type $(p, q)$ -Euler numbers and polynomials.
Cited by 3
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Cited by 4
- 8 May 2019
- Published by MDPI AG in Symmetry
Some Symmetric Identities for the Multiple (p, q)-Hurwitz-Euler eta Function
by Kyung-Won Hwang, Cheon Seoung Ryoo
The main purpose of this paper is to find some interesting symmetric identities for the $(p, q)$ -Hurwitz-Euler eta function in a complex field. Firstly, we define the multiple $(p, q)$ -Hurwitz-Euler eta function by generalizing the Carlitz’s form $(p, q)$ -Euler numbers and polynomials. We find some formulas and properties involved in Carlitz’s form $(p, q)$ -Euler numbers and polynomials with higher order. We find new symmetric identities for multiple $(p, q)$ -Hurwitz-Euler eta functions. We also obtain symmetric identities for Carlitz’s form $(p, q)$ -Euler numbers and polynomials with higher order by using symmetry about multiple $(p, q)$ -Hurwitz-Euler eta functions. Finally, we study the distribution and symmetric properties of the zero of Carlitz’s form $(p, q)$ -Euler numbers and polynomials with higher order.
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- 8 May 2019
- Published by MDPI AG in Symmetry
Open Access
Some Symmetric Identities for the Multiple (p, q)-Hurwitz-Euler eta Function
by Kyung-Won Hwang, Cheon Seoung Ryoo
The main purpose of this paper is to find some interesting symmetric identities for the $(p, q)$ -Hurwitz-Euler eta function in a complex field. Firstly, we define the multiple $(p, q)$ -Hurwitz-Euler eta function by generalizing the Carlitz’s form $(p, q)$ -Euler numbers and polynomials. We find some formulas and properties involved in Carlitz’s form $(p, q)$ -Euler numbers and polynomials with higher order. We find new symmetric identities for multiple $(p, q)$ -Hurwitz-Euler eta functions. We also obtain symmetric identities for Carlitz’s form $(p, q)$ -Euler numbers and polynomials with higher order by using symmetry about multiple $(p, q)$ -Hurwitz-Euler eta functions. Finally, we study the distribution and symmetric properties of the zero of Carlitz’s form $(p, q)$ -Euler numbers and polynomials with higher order.
Cited by 4

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