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RYOO, CHEON SEOUNG The Korean Society for Computational and Applied M 2021 Journal of applied mathematics & informatics Vol.39 No.3
In this paper, we propose a new iterative algorithm to automatically prove the existence of solutions for a unilateral boundary value problems for second order equations.
Distribution of zeros of the (p, q)-poly-tangent polynomials
Cheon Seoung Ryoo 한국전산응용수학회 2021 Journal of Applied and Pure Mathematics Vol.3 No.3
In this paper we give some properties, a connection with (p,q)-poly-tangent numbers and polynomials, and some integral formulas. Finally, we investigate the zeros of the (p,q)-poly-tangent polynomials by using computer.
Numerical verification of solutions for Signorini problems using Newton-like method
Cheon Seoung Ryoo 韓南大學校 敎育硏究所 2010 교육연구 Vol.18 No.1
We proposed a numerical method to verify the existence of solutions for a simplified Signorini problem (Comput. Math. Appl. 200; 40: 1003-1013). Using sequential iteration method, we numerically constructed a set Containing solutions that satisfies the hypothesis of Schauder's fixed point theorem in certain Sobolev space. It is difficult to apply this method to the problem of which associated operator is not retractive in a neighborhood of the solution. In this paper, in order to overcome such a difficulty, we describe an alternative approach to this problem. Numerical examples are presented.
SOME IDENTITIES FOR (p, q)-HURWITZ ZETA FUNCTION
RYOO, CHEON SEOUNG The Korean Society for Computational and Applied M 2019 Journal of applied mathematics & informatics Vol.37 No.1
In this paper, we give some interesting symmetric identities of the (p, q)-Hurwitz zeta function. We also give some new interesting properties, explicit formulas, a connection with (p, q)-Bernoulli numbers and polynomials.
SYMMETRIC IDENTITIES FOR DEGENERATE CARLITZ-TYPE q-EULER NUMBERS AND POLYNOMIALS
RYOO, CHEON SEOUNG The Korean Society for Computational and Applied M 2019 Journal of applied mathematics & informatics Vol.37 No.3
In this paper we define the degenerate Carlitz-type q-Euler polynomials by generalizing the degenerate Euler numbers and polynomials, degenerate Carlitz-type Euler numbers and polynomials. We also give some interesting properties, explicit formulas, a connection with degenerate Carlitz-type q-Euler numbers and polynomials.
REFLECTION SYMMETRIES OF THE q-GENOCCHI POLYNOMIALS
Ryoo, Cheon-Seoung The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.5
One purpose of this paper is to consider the reflection symmetries of the q-Genocchi polynomials $G^*_{n,q}(x)$. We also observe the structure of the roots of q-Genocchi polynomials, $G^*_{n,q}(x)$, using numerical investigation. By numerical experiments, we demonstrate a remarkably regular structure of the real roots of $G^*_{n,q}(x)$.
CHEON SEOUNG RYOO The Korean Society for Computational and Applied M 2023 Journal of applied and pure mathematics Vol.5 No.5
In this paper, we investigate the zeros of the fully modified q-poly-tangent polynomials of the first type.
RYOO, CHEON SEOUNG The Korean Society for Computational and Applied M 2020 Journal of applied mathematics & informatics Vol.38 No.1
In this paper we define a new generalized polynomials of derangements. It also derives the differential equations that occur in the generating function of the generalized polynomials of derangements. We establish some new identities for the generalized polynomials of derangements. Finally, we perform a survey of the distribution of zeros of the generalized polynomials of derangements.
Cheon Seoung Ryoo 한국전산응용수학회 2023 Journal of Applied and Pure Mathematics Vol.5 No.5
In this paper, we investigate the zeros of the fully modified $q$-poly-tangent polynomials of the first type.
SOME IDENTITIES FOR (p,q)-HURWITZ ZETA FUNCTION
Cheon Seoung Ryoo 한국전산응용수학회 2019 Journal of applied mathematics & informatics Vol.37 No.1
In this paper, we give some interesting symmetric identities of the (p; q)-Hurwitz zeta function. We also give some new interesting properties, explicit formulas, a connection with (p; q)-Bernoulli numbers and polynomials.