• Korean Journal of Mathematics
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• 제32권1호
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• pp.73-82
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• 2024

The purpose of this paper is to introduce a new subclass of strongly meromorphic close-to-convex functions by subordinating to generalized Janowski function. We investigate several properties for this class such as coefficient estimates, inclusion relationship, distortion property, argument property and radius of meromorphic convexity. Various earlier known results follow as particular cases.

• Kyungpook Mathematical Journal
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• 제46권3호
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• pp.437-444
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• 2006

In this paper, we deal with the uniqueness of meromorphic functions concerning one question of Gross (see [5, Question 6]), and obtain some results that are improvements of that of former authors. Moreover, the example shows that the result is sharp.

• 대한수학회보
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• 제49권6호
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• pp.1349-1357
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• 2012

We prove a congruence modulo a prime of Fourier coefficients of several meromorphic modular forms of low weights. We prove the result by establishing a generalization of a theorem of Garthwaite.

• 대한수학회지
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• 제45권6호
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• pp.1661-1676
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• 2008

Norm estimates of the pre-Schwarzian derivatives are given for meromorphic functions in the outside of the unit circle. We deduce several univalence criteria for meromorphic functions from those estimates.

• 대한수학회지
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• 제55권4호
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• pp.785-795
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• 2018

In this paper, we give a uniqueness theorem on meromorphic solutions f of finite order of a class of differential-difference equations such that solutions f are uniquely determined by their poles and two distinct values.

• 대한수학회보
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• 제38권2호
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• pp.379-387
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• 2001

In this paper, we study the value distribution of meromorphic functions and prove the following theorem: Let f(z) be a transcendental meromorphic function. If f and f'have the same zeros, then f'(z) takes any non-zero value b infinitely many times.

• 대한수학회논문집
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• 제14권1호
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• pp.13-18
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• 1999

In this paper, we compute a basis of the space of meromorphic differentials on a Riemann surface, holomorphic away from two fixed points. This basis consists of the differentials which have the expected zero or pole order at the two fixed points.

• 대한수학회보
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• 제46권6호
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• pp.1189-1200
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• 2009

The main purpose of this paper is to deal with the uniqueness of meromorphic functions sharing sets concerning small functions. We obtain two main theorems which improve and extend strongly some results due to R. Nevanlinna, Li-Qiao, Yao, Yi, Thai-Tan, and Cao-Yi.

• Kyungpook Mathematical Journal
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• 제50권1호
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• pp.71-80
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• 2010

In this paper, we deal with the uniqueness problems of meromorphic functions that share a small function with its derivative and improve some results of Yang, Yu, Lahiri, and Zhang, also answer some questions of T. D. Zhang and W. R. L$\"{u}$.

• Journal of applied mathematics & informatics
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• 제35권1_2호
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• pp.131-145
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• 2017

In this paper, we study the uniqueness and value sharing problems in class ${\mathcal{A}}$ of meromorphic functions. We obtain significant results which improve as well as generalize the result of C.C Yang and Xinhou Hua [10].