• 대한수학회보
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• 제60권2호
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• pp.461-473
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• 2023

Let f be a nonconstant meromorphic function of hyper-order strictly less than 1, and let c ∈ ℂ \ {0} such that f(z + c) ≢ f(z). We prove that if f and its exact difference ∆_cf(z) = f(z + c) - f(z) share partially 0, ∞ CM and share 1 IM, then ∆_cf = f, where all 1-points with multiplicities more than 2 do not need to be counted. Some similar uniqueness results for such meromorphic functions partially sharing targets with weight and their shifts are also given. Our results generalize and improve the recent important results.

• 대한수학회보
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• 제35권2호
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• pp.375-385
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• 1998

We prove a uniqueness theorom for meromrphic functions which share the same 1-points.

• Kyungpook Mathematical Journal
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• 제46권1호
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• pp.79-87
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• 2006

Using the notion of weighted sharing of sets we improve two results of H. X. Yi on uniqueness of meromorphic functions.

• 대한수학회지
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• 제47권3호
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• pp.467-482
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• 2010

We prove a uniqueness theorem for meromorphic functions sharing three weighted values which improves some existing results.

• 대한수학회보
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• 제52권2호
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• pp.345-350
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• 2015

In the paper we prove a uniqueness theorem which improves and generalizes a number of uniqueness theorems for meromorphic functions related to Nevanlinna's five value theorem.

• 대한수학회보
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• 제49권2호
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• pp.417-422
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• 2012

In this paper, we prove an analog of the generalized Schwarz lemma for meromorphic functions. Our results improve the classical generalized Schwarz lemma.

• 대한수학회보
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• 제53권6호
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• pp.1645-1650
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• 2016

In this article, we establish a characterization of meromorphic functions and L-functions in the extended Selberg class, which shows that how they are uniquely determined by their c-values.

• 대한수학회보
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• 제55권3호
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• pp.865-870
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• 2018

We show that if two nonconstant meromorphic functions f and g on $\mathbb{C}$ sharing some finite sets IM, then there is a nonconstant rational function R(z) such that R(f) = R(g).

• 대한수학회보
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• 제42권1호
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• pp.203-211
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• 2005

If a meromorphic solution of second order homogeneous linear differential equation is factorizable, then the right factor of the factorization of the solution has order not more than the coefficient's. And some asympotic properties of solutions are studied.

• 대한수학회지
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• 제53권4호
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• pp.835-846
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• 2016

In this paper, we study entire solutions of some nonlinear difference equations and transcendental meromorphic solutons of some nonlinear differential equations. Our results generalize the results due to [11], [17].