• Journal of the Chungcheong Mathematical Society
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• v.12 no.1
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• pp.1-13
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• 1999

The purpose of this paper is to show that if the Fatou set F(f) of a CF-meromorphic function f has two completely invariant components, then they are the only components of F(f) and that the Julia set of the entire transcendental function $E_{\lambda}(z)={\lambda}e^z$ for 0 < ${\lambda}$ < $\frac{1}{e}$ contains a Cantor bouquet by employing the Devaney and Tangerman's theorem[10].

• Bulletin of the Korean Mathematical Society
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• v.45 no.3
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• pp.427-435
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• 2008

In this paper we consider the problem of whether certain homogeneous or non-homogeneous differential polynomials in f(z) necessarily have infinitely many zeros. Particularly, this extends a result of Gopalakrishna and Bhoosnurmath [3, Theorem 2] for a general differential polynomial of degree $\bar{d}$(P) and lower degree $\underline{d}$(P).

• Communications of the Korean Mathematical Society
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• v.33 no.4
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• pp.1217-1227
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• 2018

In the paper, we study the growth and fixed point of solutions of high order linear differential equations with entire coefficients of [p, q]-order in the complex plane. We improve and extend some results due to T. B. Cao, J. F. Xu, Z. X. Chen, and J. Liu, J. Tu, L. Z. Shi.

• Bulletin of the Korean Mathematical Society
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• v.57 no.1
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• pp.133-138
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• 2020

It is shown that each sequence lying sufficiently close in the hyperbolic sense to a Q^#_p-sequence for a meromorphic function f in the unit disc is also a Q^#_p-sequence for f.

• Proceedings of the Korea Database Society Conference
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• 2000.11a
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• pp.116-118
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• 2000

본 논문은 만델브로트 집합의 쌍곡성분과 0＜λ＜1/e에서 초월 정함수 $E_{λ}$(z)의 Julia집합의 성질에 대한 연구이다. 만델브로트 집합의 쌍곡성분은 $P_{c}$ $^{n}$ (0)의 영점을 항상 포함하고 있고 역으로 $P_{c}$ $^{n}$ (0)의 각각의 영점은 만델브로트 집합의 한 쌍곡성분에 포함된다. 그리고 $E_{λ}$(z)의 Julia 집합이 Cantor bouquet를 포함하고 있다는 사실을 Devaney 와 Tangerman의 결과를 이용하여 설명하였다.여 설명하였다.하였다.

• The Pure and Applied Mathematics
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• v.12 no.1
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• pp.57-63
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• 2005

Let ∑(p)(p ∈ N) be the class of functions f(z) = z/sup -p/ + α/sub 1-p/ z/sup 1-p/ + α/sub 2-p/z/sup 2-p/ + ... analytic in 0 < ｜z｜ < 1 and let M(p, λ, μ)(0 < λ≤ 2 and 2λ(λ - 1) ≤ μ ≤ λ²) denote the class of functions f(z) ∈ ∑(p) which satisfy (equation omitted). The object of the present paper is to derive some properties of functions in the class M(p, λ, μ).

• Journal of the Korean Mathematical Society
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• v.58 no.3
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• pp.741-760
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• 2021

In this paper, we exhibit the equivalence between different notions of unique range sets, namely, unique range sets, weighted unique range sets and weak-weighted unique range sets under certain conditions. Also, we present some uniqueness theorems which show how two meromorphic functions are uniquely determined by their two finite shared sets. Moreover, in the last section, we make some observations that help us to construct other new classes of unique range sets.

• Bulletin of the Korean Mathematical Society
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• v.56 no.2
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• pp.461-470
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• 2019

In this note, we consider the growth of solutions to second order and higher order linear complex differential equations on annuli instead of the complex plane. We establish several theorems that are analogues of the results in the complex plane.

• Journal of applied mathematics & informatics
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• v.40 no.3_4
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• pp.507-513
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• 2022

In this paper, we investigate some results on complex delay-differential equations of the classical Malmquist theorem. A classic illustrations of their results states us that if a complex delay equation w(t + 1) + w(t - 1) = R(t, w) with R(t, w) rational in both arguments admits (concede) a transcendental meromorphic solution of finite order, then deg_wR(t, w) ≤ 2. Development and upgrade of such results are presented in this paper. In addition, Borel exceptional zeros and poles seem to appear in special situations.

• Bulletin of the Korean Mathematical Society
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• v.61 no.1
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• pp.135-145
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• 2024

We consider a function-field analogue of Dirichlet series associated with the Goldbach counting function, and prove that it can, or cannot, be continued meromorphically to the whole plane. When it cannot, we further prove the existence of the natural boundary of it.