Uniqueness of a meromorphic function sharing two values CM with its difference operator

Mahesh Barki, Renukadevi S. Dyavanal and Subhas S. Bhoosnurmath
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Mahesh Barki: Karnatak University
Renukadevi S. Dyavanal: Karnatak University
Subhas S. Bhoosnurmath: Karnatak University

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 4, 907-914

Abstract: Abstract This research investigates the uniqueness of meromorphic function f(z) and its $$n^{th}$$ n th order difference operator with two shared values counting multiplicities. It generalizes the results of Yeyang Jiang and Zongxuan Chen [5] and for the case $$ n \ge 2$$ n ≥ 2 , it admits a very special generalization. Moreover, we give an example to illustrate the validity of our main result.

Keywords: Meromorphic functions; Difference operators; Sharing values; Small functions; 30D35; 39A10 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13226-021-00196-4

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