Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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UNIQUENESS OF ENTIRE FUNCTION SHARING TWO VALUES JOINTLY WITH ITS DIFFERENTIAL POLYNOMIALS

  • Goutam Haldar (Department of Mathematics, Ghani Khan Choudhury Institute of Engineering and Technology)
  • Received : 2023.12.26
  • Accepted : 2024.07.01
  • Published : 2024.12.20
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Abstract

In this paper, we continue to investigate the uniqueness problem when an entire function f and its linear differential polynomial L(f) share two distinct complex values CMW (counting multiplicities in the weak sense) jointly. Also, We investigate the same problem when f and its differential monomial M(f) share two distinct complex values CMW, which is introduced by Lahiri in [Comput. Methods Funct. Theory, 21, 379-397 (2021)]. Our results generalize the recent result of Lahiri [Comput. Methods Funct. Theory, 21, 379-397 (2021)] to some extent.

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References

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