• 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.

• 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].

• 대한수학회보
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• 제52권1호
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• pp.13-33
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• 2015

In this paper, we study the uniqueness problems of entire or meromorphic functions concerning differential polynomials that share one value with multiplicity using weighted sharing method. We prove two main theorems which generalize and improve the results of Fang and Fang [2], Dyavanal [1] and others and also solve the open problem posed by Dyavanal. This method yields some new results.

• Kyungpook Mathematical Journal
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• 제54권3호
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• pp.349-363
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• 2014

In this paper, we shall utilize Nevanlinna value distribution theory to study the uniqueness problems on entire functions and differential polynomials sharing one value. Our theorems improve or generalize some results of Zhang and Lin, Chen, Zhang, Lin and Chen.

• Journal of applied mathematics & informatics
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• 제39권5_6호
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• pp.839-850
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• 2021

In this paper, we investigate the uniqueness problems of certain types of difference-differential polynomials of entire functions sharing a small function. The results of the paper improve and generalize the recent results due to Biswajit Saha [18].

• 대한수학회보
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• 제56권3호
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• pp.789-799
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• 2019

In this paper, we deal with unicity of a nonconstant zero-order meromorphic function f(z) and its shift f(qz) when they share four distinct values IM or share three distinct values with multiplicities truncated to level 4 in the extended complex plane, where $q{\in}\mathbb{C}{\setminus}\{0\}$. We also give an uniqueness result for f(z) sharing sets with its shift.

• Kyungpook Mathematical Journal
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• 제49권4호
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• pp.651-666
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• 2009

With the aid of weakly weighted sharing and a recently introduced sharing notion in [3] known as relaxed weighted sharing we investigate the uniqueness of meromorphic functions sharing a small function with its differential polynomials. Our results will improve and supplement all the results obtained by Zhang and Yang [17] as well as a substantial part of the results recently obtained by the present author [2] and thus provide a better answer to the questions posed by Yu [14] in this regard.

• Kyungpook Mathematical Journal
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• 제48권4호
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• pp.623-636
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• 2008

In this paper, we prove some results on uniqueness of meromorphic functions with three weighted sharing values. The results in this paper improve those given by H. X. Yi, I. Lahiri, T. C. Alzahary and H. X. Yi and other authors.

• Journal of applied mathematics & informatics
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• 제40권5_6호
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• pp.995-1002
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• 2022

In this paper, we study the uniqueness of meromorphic functions sharing a unique range sets Ignoring multiplicities. This paper improves the result of Pulak sahoo and Anjan Sarkar [15].

• Journal of applied mathematics & informatics
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• 제40권3_4호
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• pp.545-562
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• 2022

Using the conception of weakly weighted sharing we discussed the value distribution of the differential product functions constructed with a polynomial and difference operator of entire function. Here we established two uniqueness result on product of difference operators when two such functions share a small function.