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PHENOMENA AND PROPERTIES OF ROOTS OF BERNOULLI-FIBONACCI POLYNOMIALS
CHEON SEOUNG RYOO The Korean Society for Computational and Applied M 2024 Journal of applied and pure mathematics Vol.6 No.1
In this paper, we investigate the distribution of the zeros of the Bernoulli-Fibonacci polynomials by using computer.
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.
Some identities of $(p, q)$-poly-cosine tangent and $(p, q)$-poly-sine tangent polynomials
Cheon Seoung Ryoo 한국전산응용수학회 2023 Journal of Applied and Pure Mathematics Vol.5 No.3
In this paper we give some prperties of the $(p, q)$-poly-cosine tangent polynomials and $(p, q)$-poly-sine tangent 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.
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.
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.
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.
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 $G^*_{n,q}(x)$.
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.
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.