Uniqueness of entire functions concerning their linear differential polynomials in shift

2025/11/26 by Jeet Sarkar, Sarkar, Jeet, Debabrata Pramanik +1
Mathematics · #30D35 and 39B32 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2512.02051

openalex publication_date 2025/11/26 · openalex created_date 2025/12/04 · openalex updated_date 2026/07/28

Abstract

In the paper, we investigate the uniqueness problem of entire functions concerning their linear differential polynomial in shift and obtain three results which improve and generalize the recent result due to Qi (Ann. Polon. Math., 102 (2011), 129-142.) in a large extend.

Citations

• Holomorphic curves with shift-invariant hyperplane preimages
• On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane

Related

• Uniqueness of entire function concerning derivatives and shifts
• Uniqueness of differential polynomials sharing one value
• Uniqueness of an entire function sharing two values jointly with its\n differential polynomials
• Partial sharing and cross sharing of entire function with its derivative
• Uniqueness of entire functions concerning differential-difference polynomials sharing small functions