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A NOTE ON THE REFLECTION SYMMETRIES OF THE GENOCCHI POLYNOMIALS
Ryoo, Cheon-Seoung The Korean Society for Computational and Applied M 2009 Journal of applied mathematics & informatics Vol.27 No.5
It is the aim of this paper to consider the reflection symmetries of the Genocchi polynomials $G^*_n(x)$. We display the shape of Genocchi polynomials $G^*_n(x)$. Finally, we investigate the roots of the Genocchi poly-nomials $G^*_n(x)$.
RYOO, CHEON SEOUNG The Korean Society for Computational and Applied M 2018 Journal of applied mathematics & informatics Vol.36 No.1
In this paper, we discover symmetric properties for generalized Carlitz's q-tangent polynomials.
A NUMERICAL INVESTIGATION ON THE STRUCTURE OF THE ZEROS OF q-EULER-FIBONACCI POLYNOMIALS
CHEON SEOUNG RYOO The Korean Society for Computational and Applied M 2024 Journal of applied and pure mathematics Vol.6 No.3
In this paper, we construcr the q-Bernoulli-Fibonacci numbers and polynomials. Finally, we investigate the distribution of the zeros of the q-Bernoulli-Fibonacci polynomials by using computer.
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.
SOME PROPERTIES OF DEGENERATE CARLITZ-TYPE TWISTED q-EULER NUMBERS AND POLYNOMIALS
RYOO, CHEON SEOUNG The Korean Society for Computational and Applied M 2021 Journal of applied mathematics & informatics Vol.39 No.1
In this paper, we define degenerate Carlitz-type twisted q-Euler numbers and polynomials by generalizing the degenerate Euler numbers and polynomials, Carlitz's type degenerate q-Euler numbers and polynomials. We also give some interesting properties, explicit formulas, symmetric properties, a connection with degenerate Carlitz-type twisted q-Euler numbers and polynomials.
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.
A numerical investigation on the structure of the zeros of $q$-Euler-Fibonacci polynomials
Cheon Seoung Ryoo 한국전산응용수학회 2024 Journal of Applied and Pure Mathematics Vol.6 No.3
In this paper, we construcr the $q$-Bernoulli-Fibonacci numbers and polynomials. Finally, we investigate the distribution of the zeros of the $q$-Bernoulli-Fibonacci polynomials by using computer.
A NOTE ON THE ZEROS OF THE q-BERNOULLI POLYNOMIALS
Ryoo, Cheon-Seoung The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.3
It is the aim of this paper to observe an interesting phenomenon of 'scattering' of the zeros of the q-Bernoulli polynomials $B_{n,q}(x)$ for -1 < q < 0 in complex plane. Observe that the structure of the zeros of the Genocchi polynomials $G_n(x)$ resembles the structure of the zeros of the q-Bernoulli polynomials $B_{n,q}(x)$ as q $\rightarrow$ -1.
ON THE (p, q)-ANALOGUE OF EULER ZETA FUNCTION
RYOO, CHEON SEOUNG The Korean Society for Computational and Applied M 2017 Journal of applied mathematics & informatics Vol.35 No.3
In this paper we define (p, q)-analogue of Euler zeta function. In order to define (p, q)-analogue of Euler zeta function, we introduce the (p, q)-analogue of Euler numbers and polynomials by generalizing the Euler numbers and polynomials, Carlitz's type q-Euler numbers and polynomials. We also give some interesting properties, explicit formulas, a connection with (p, q)-analogue of Euler numbers and polynomials. Finally, we investigate the zeros of the (p, q)-analogue of Euler polynomials by using computer.
Ryoo, Cheon Seoung The Korean Society for Computational and Applied M 2017 Journal of applied mathematics & informatics Vol.35 No.5
In this paper we define the (p, q)-analogue of Bernoulli numbers and polynomials by generalizing the Bernoulli numbers and polynomials, Carlitz's type q-Bernoulli numbers and polynomials. We also give some interesting properties, explicit formulas, a connection with (p, q)-analogue of Bernoulli numbers and polynomials. Finally, we investigate the zeros of the (p, q)-analogue of Bernoulli polynomials by using computer.