Value Distribution and Uniqueness of General Differential-Difference Polynomials

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Authors

  • Rajib Mandal
     Department of Mathematics, Raiganj University, Raiganj-733134, West Bengal ,IN
  • Raju Biswas
     Department of Mathematics, Raiganj University, Raiganj-733134, West Bengal ,IN

DOI:

https://doi.org/10.18311/jims/2024/29926

Keywords:

Meromorphic function, Value distribution, Difference polynomial, Uniqueness, Order.
2010 Mathematics Subject Classication, 30D35.

Abstract

We mainly study the possible value distribution and uniqueness results of the general differential-difference polynomials of transcendental entire functions with finite order when they share a small function under weighted sharing and weakly weighted sharing hypotheses. These are significant generalization of earlier results. As a very special case, we obtain the results of Majumder et al. (A note on the uniqueness of certain types of differential-difference polynomials, Ukrainian Mathematical Journal, 73(5), 791-810(2021)). We fortify some examples to claim that the used conditions are best possible in the paper.

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Published

2024-01-01

How to Cite

Mandal, R., & Biswas, R. (2024). Value Distribution and Uniqueness of General Differential-Difference Polynomials. The Journal of the Indian Mathematical Society, 91(1-2), 55–76. https://doi.org/10.18311/jims/2024/29926

Issue

Volume 91, Issue 1-2, January-June 2024

Section

Articles

License

Copyright (c) 2024 Rajib Mandal, Raju Biswas

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2022-04-05
Accepted 2022-07-16
Published 2024-01-01

 

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