Uniqueness of meromorphic functions with their reduced linear \(c\)-shift operators sharing two or more values or sets

DOI10.1186/S13662-019-2425-5zbMath1487.30027OpenAlexW2995370273WikidataQ126577596 ScholiaQ126577596MaRDI QIDQ2142023

Saikat Bhattacharyya, Abhijit Banerjee

Publication date: 25 May 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2425-5

zbMATH Keywords

uniquenessdifference operatormeromorphic functionsshared setweighted sharing

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Difference operators (39A70) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (8)

On the transcendental entire and meromorphic solutions of certain non-linear generalized delay-differential equations ⋮ Transcendental entire functions of finite order sharing two sets of small functions with their shift differential operators ⋮ Unnamed Item ⋮ UNICITY OF MEROMORPHIC FUNCTION WITH THEIR SHIFT OPERATOR SHARING SMALL FUNCTION ⋮ Meromorphic functions of restricted hyper-order sharing small functions with their linear shift delay differential operator ⋮ Unnamed Item ⋮ A positive answer for \(3\mathrm{IM}+1\mathrm{CM}\) problem with a general difference polynomial ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Entire functions sharing some values with their difference operators
• Meromorphe Funktionen, die mit ihrer Ableitung Werte teilen
• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• Meromorphic functions sharing three values with their difference operators
• On sharing values of meromorphic functions and their differences
• Meromorphic functions sharing one value
• Weighted sharing and uniqueness of meromorphic functions
• Weighted value sharing and uniqueness of meromorphic functions
• Finite-order meromorphic solutions and the discrete Painlevé equations
• Meromorphic functions that share one or two values
• Meromorphic functions sharing two sets

This page was built for publication: Uniqueness of meromorphic functions with their reduced linear \(c\)-shift operators sharing two or more values or sets