• Title/Summary/Keyword: weighted sharing values

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Some Further Results on Weighted Sharing of Values for Meromorphic Functions Concerning a Result of Terglane

  • Li, Xiao-Min;Yi, Hong-Xun
    • Kyungpook Mathematical Journal
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    • v.48 no.3
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    • pp.419-431
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    • 2008
  • In this paper, we deal with the problem of meromorphic functions that have three weighted sharing values, and obtain some uniqueness theorems which improve those given by N. Terglane, Hong-Xun Yi & Xiao-Min Li, and others. Some examples are provided to show that the results in this paper are best possible.

DISTRIBUTION OF VALUES OF DIFFERENCE OPERATORS CONCERNING WEAKLY WEIGHTED SHARING

  • SHAW, ABHIJIT
    • Journal of applied mathematics & informatics
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    • v.40 no.3_4
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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.

UNIQUENESS OF MEROMORPHIC FUNCTION WITH ITS LINEAR DIFFERENTIAL POLYNOMIAL SHARING TWO VALUES

  • Banerjee, Abhijit;Maity, Sayantan
    • Communications of the Korean Mathematical Society
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    • v.36 no.3
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    • pp.515-526
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    • 2021
  • The paper has been devoted to study the uniqueness problem of meromorphic function and its linear differential polynomial sharing two values. We have pointed out gaps in one of the theorem due to [1]. We have further extended the corrected form of Chen-Li-Li's result which in turn extend the an earlier result of [8] in a large extent. In fact, we have subtly use the notion of weighted sharing of values in this particular section of literature which was unexplored till now. A handful number of examples have been provided by us pertinent to different discussions. Specially we have given an example to show that one condition in a theorem can not be dropped.

Uniqueness of Certain Non-Linear Differential Polynomials Sharing 1-Points

  • Banerjee, Abhijit
    • Kyungpook Mathematical Journal
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    • v.51 no.1
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    • pp.43-58
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    • 2011
  • Using the notion of weighted sharing of values we study the uniqueness of meromorphic functions when certain non-linear differential polynomials share the same 1-points. Though the main concern of the paper is to improve a result of Fang [5] but as a consequence of the main result we improve and supplement some former results of Lahiri-Sarkar [16], Fang-Fang[6] et. al.

Meromorphic Functions with Weighted Sharing of One Set

  • Alzahary, Thamir C.
    • Kyungpook Mathematical Journal
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    • v.47 no.1
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    • pp.57-68
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    • 2007
  • In this article, we investigate the problem of uniqueness of meromorphic functions sharing one set and having deficient values, and obtain a result which improves some earlier results.

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On a Result of N. Terglane

  • Lahiri, Indrajit;Ghosh, Goutam Kumar
    • Kyungpook Mathematical Journal
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    • v.51 no.2
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    • pp.195-204
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    • 2011
  • We prove a uniqueness theorem for meromorphic functions sharing three weighted values, which improves a result given by N. Terglane in 1989 and a result given by X. M. Li and H. X. Yi in 2003. Some examples are provided to show that the result of the paper is best possible.