June 2023 Results on uniqueness of a polynomial and difference differential polynomial
Preetham N. Raj, Harina P. Waghamore
Adv. Studies: Euro-Tbilisi Math. J. 16(2): 79-96 (June 2023). DOI: 10.32513/asetmj/193220082318

Abstract

Inspired by numerous studies on the difference analogues of the Bruck's conjecture, in this paper, we demonstrate the uniqueness of non-constant polynomial and a difference differential polynomial, both generated by a non-constant meromorphic function g, when they share a small function with finite weight. Our findings build upon and generalize a recent result of Chakraborty. [4]

Funding Statement

The authors did not receive support from any organization for the submitted work.

Acknowledgment

Authors are very much thankful to the editor and refrees for their careful reading and valuable suggestions which helped to improve the manuscript.

Citation

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Preetham N. Raj. Harina P. Waghamore. "Results on uniqueness of a polynomial and difference differential polynomial." Adv. Studies: Euro-Tbilisi Math. J. 16 (2) 79 - 96, June 2023. https://doi.org/10.32513/asetmj/193220082318

Information

Received: 22 December 2022; Accepted: 5 January 2023; Published: June 2023
First available in Project Euclid: 28 June 2023

zbMATH: 07724372
MathSciNet: MR4609458
Digital Object Identifier: 10.32513/asetmj/193220082318

Subjects:
Primary: 30D35

Keywords: difference differential polynomial , meromorphic function , shift , unicity , Weighted Sharing

Rights: Copyright © 2023 Tbilisi Centre for Mathematical Sciences

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Vol.16 • No. 2 • June 2023
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