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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 $G^*_{n,q}(x)$.
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.

Functional Equations associated with Generalized Bernoulli Numbers and Polynomials
Ryoo, Cheon Seoung,Dolgy, Dmitry Victorovich,Kwon, Hyuck In,Jang, Yu Seon Department of Mathematics 2015 Kyungpook mathematical journal Vol.55 No.1
In this paper, we investigate the functional equations of the multiple Dirichlet and Hurwitz L-functions associated with Bernoulli numbers and polynomials attached to Dirichlet character.
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 $G^*_n(x)$.
Cheon Seoung Ryoo 한국전산응용수학회 2025 Journal of applied mathematics & informatics Vol.43 No.4
In this paper, we investigate the distribution of the zeros of degenerate $q$-Bernoulli-Fibonacci polynomials using numerical methods. We first introduce the generating functions for Bernoulli numbers and polynomials and extend them to define Bernoulli-Fibonacci polynomials. By incorporating degenerate and $q$-analog concepts, we establish new mathematical properties and generating functions for degenerate degenerate $q$-Bernoulli-Fibonacci polynomials. Furthermore, we analyze their zeros numerically and illustrate the results using computational plots and tables. These numerical investigations provide insights into the structure and patterns of the zeros, offering new perspectives on the behavior of degenerate degenerate $q$-Bernoulli-Fibonacci polynomials.
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.
DIFFERENTIAL EQUATIONS ASSOCIATED WITH TWISTED (h, q)-TANGENT POLYNOMIALS
RYOO, CHEON SEOUNG The Korean Society for Computational and Applied M 2018 Journal of applied mathematics & informatics Vol.36 No.3
In this paper, we study linear differential equations arising from the generating functions of twisted (h, q)-tangent polynomials. We give explicit identities for the twisted (h, q)-tangent polynomials.
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.
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.