• Title/Summary/Keyword: weakly weighted share

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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 HOMOGENEOUS DIFFERENTIAL POLYNOMIALS CONCERNING WEAKLY WEIGHTED-SHARING

  • Pramanik, Dilip Chandra;Roy, Jayanta
    • Communications of the Korean Mathematical Society
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    • v.34 no.2
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    • pp.439-449
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    • 2019
  • In 2006, S. Lin and W. Lin introduced the definition of weakly weighted-sharing of meromorphic functions which is between "CM" and "IM". In this paper, using the notion of weakly weighted-sharing, we study the uniqueness of nonconstant homogeneous differential polynomials P[f] and P[g] generated by meromorphic functions f and g, respectively. Our results generalize the results due to S. Lin and W. Lin, and H.-Y. Xu and Y. Hu.