• The Pure and Applied Mathematics
• /
• v.28 no.1
• /
• pp.27-42
• /
• 2021

In this paper, we exploit some known theta function identities involving two parameters ��k,n and ��′k,n for the theta function �� to find about 54 new values of the Ramanujan's cubic continued fraction.

• Journal of the Chungcheong Mathematical Society
• /
• v.26 no.3
• /
• pp.517-523
• /
• 2013

In this paper we study the infiniteness of Hilbert 3-class field tower of real cubic function fields over $\mathbb{F}_q(T)$, where $q{\equiv}1$ mod 3. We also give various examples of real cubic function fields whose Hilbert 3-class field tower is infinite.

• Communications of the Korean Mathematical Society
• /
• v.26 no.4
• /
• pp.551-555
• /
• 2011

In this note, we will give a short proof of an identity for cubic partition function.

• Honam Mathematical Journal
• /
• v.34 no.4
• /
• pp.597-601
• /
• 2012

In this paper we study the density of imaginary cubic function fields having the infinite Hilbert 3-class field tower.

• Korean Journal of Mathematics
• /
• v.22 no.3
• /
• pp.419-427
• /
• 2014

Let $k=\mathbb{F}_q(T)$ be the rational function field over a finite field $\mathbb{F}_q$, where $q{\equiv}1$ mod 3. In this paper, we determine asymptotic values of average of ideal class numbers of some family of cubic Kummer extensions of k.

• Journal of the Chungcheong Mathematical Society
• /
• v.26 no.1
• /
• pp.161-166
• /
• 2013

In this paper we study the infiniteness of the Hilbert 3-class field tower of imaginary cubic function fields.

• Korean Journal of Mathematics
• /
• v.27 no.4
• /
• pp.1043-1059
• /
• 2019

In this paper, we use some theta function identities involving two parameters h_n,k and h'_n,k for the theta function φ to establish new evaluations of Ramanujan's cubic continued fraction.

• Transactions of the Korean Society of Mechanical Engineers
• /
• v.19 no.5
• /
• pp.1168-1175
• /
• 1995

The application of cubic spline is presented for basic curve (DRD motion) of cam motion. The purpose of this paper is to achieve better dynamic characteristics than general cam curves. A cubic spline is a piecewise function that is continuous in displacement, velocity and acceleration. The best cam curve is obtained by changing the weights of the object function. So the method can be used to any machine system case by case. For the proposed object function, the result has improved all characteristics such as velocity, acceleration and jerk compared with that of the modified sine curve.

• Journal of the Chungcheong Mathematical Society
• /
• v.30 no.2
• /
• pp.239-249
• /
• 2017

In this paper, we approximate a fuzzy almost cubic function by a cubic function in a fuzzy sense. Indeed, we investigate solutions of the following cubic functional equation $$3f(kx+y)+3f(kx-y)-kf(x+2y)-2kf(x-y)-3k(2k^2-1)f(x)+6kf(y)=0$$. and prove the generalized Hyers-Ulam stability for it in fuzzy Banach spaces.

• Journal of the Chungcheong Mathematical Society
• /
• v.19 no.3
• /
• pp.275-281
• /
• 2006

In this article, we establish the stability of the orthogonally cubic type functional equation 2f(x + 2y) + 2f(x - 2y) + 2f(2x)+7[f(x)+f(-x)] = 4f(x)+8[f(x+y)+f(x-y)], $x{\bot}y$ in which ${\bot}$ is the orthogonality in the sense in the R$\ddot{a}$tz.