• Bulletin of the Korean Mathematical Society
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• v.47 no.4
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• pp.751-765
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• 2010

In this paper, we deal with a uniqueness theorem of two nonconstant meromorphic functions that share three values and one pair of polynomials. The results in this paper improve those given by G. G. Gundersen, G. Brosch and other authors.

• Bulletin of the Korean Mathematical Society
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• v.51 no.6
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• pp.1773-1789
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• 2014

We study the normality of families of meromorphic functions sharing a set consisting of two or three distinct finite values to improve and extend Theorem 1 in Liu-Pang [15] and Theorem 1.1 in Liu-Chang [16]. Examples are provided to show that the results in this paper, in a sense, are the best possible.

• Kyungpook Mathematical Journal
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• v.49 no.1
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• pp.15-29
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• 2009

Dealing with a question of gross, we prove some uniqueness theorems concerning meromorphic functions with the notion of weighted sharing of sets. Our results will not only improve and supplement respectively two results of Lahiri-Banerjee [9] and Qiu and Fang [13] but also improve a very recent result of the present author [1].

• Bulletin of the Korean Mathematical Society
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• v.37 no.2
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• pp.291-301
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• 2000

We give sufficient coefficient conditions for a class of meromorphic univalent harmonic functions that are starlike of some order. Furthermore, it is shown that these conditions are also necessary when the coefficients of the analytic part of the function are positive and the coefficients of the co-analytic part of the function are negative. Extreme points, convolution and convex combination conditions for these classes are also determined. Fianlly, comparable results are given for the convex analogue.

• Kyungpook Mathematical Journal
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• v.55 no.2
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• pp.327-333
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• 2015

In this paper, we introduce a class of p-valent meromorphic functions associated with linear operator and derive several interesting results of this class.

• Korean Journal of Mathematics
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• v.29 no.1
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• pp.121-136
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• 2021

In this paper we wish to prove some results relating to the growth rates of composite entire and meromorphic functions with their corresponding left and right factors on the basis of their generalized order (��, ��) and generalized lower order (��, ��), where �� and �� are continuous non-negative functions defined on (-∞, +∞).

• The Pure and Applied Mathematics
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• v.30 no.2
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• pp.139-154
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• 2023

In this paper we wish to prove some results relating to the growth rates of composite entire and meromorphic functions with their corresponding left and right factors on the basis of their generalized relative order (α, β) and generalized relative lower order (α, β), where α and β are continuous non-negative functions defined on (-∞, +∞).

• Journal of applied mathematics & informatics
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• v.41 no.5
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• pp.907-921
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• 2023

In this article, we are presenting and examining a subclass of Meromorphic univalent functions as stated by the Bessel function. We get disparities in terms of coefficients, properties of distortion, closure theorems, Hadamard product. Finally, for the class Σ^*(℘, ℓ, ℏ, τ, c), we obtain integral transformations.

• Kyungpook Mathematical Journal
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• v.49 no.2
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• pp.235-243
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• 2009

In this paper, we deal with the problem of uniqueness of meromorphic functions that share two small functions with their derivatives, and obtain the following result which improves a result of Yao and Li: Let f(z) be a nonconstant meromorphic function, k > 5 be an integer. If f(z) and g(z) = $a_1(z)f(z)+a_2(z)f^{(k)}(z)$ share the value 0 CM, and share b(z) IM, $\overline{N}_E(r,f=0=F^{(k)})=S(r)$, f${\equiv}$g, where $a_1(z)$, $a_2(z)$ and b(z) are small functions of f(z).

• The Pure and Applied Mathematics
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• v.4 no.2
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• pp.111-113
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• 1997

A simple proof for the special case of the McMillan and Pommerenke Theorem on the asymptotic values of meromorphic functions without Koebe arcs is derived from the author's result on the boundary behavior of meromorphic functions without Koebe arcs.