The conjecture on unity of meromorphic functions concerning their differences

DOI10.1080/10236198.2016.1201477zbMath1361.30048OpenAlexW2473837378WikidataQ123130730 ScholiaQ123130730MaRDI QIDQ2964222

Ning Cui, Zong Xuan Chen

Publication date: 23 February 2017

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2016.1201477

zbMATH Keywords

difference operatorsmeromorphic functionssharing setsuniqueness theoremssharing values

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35)

Related Items (10)

Meromorphic functions sharing small functions with their difference polynomial in several variables ⋮ Uniqueness on linear difference polynomials of meromorphic functions ⋮ Unnamed Item ⋮ The growth of difference equations and differential equations ⋮ Transcendental entire functions of finite order sharing two sets of small functions with their shift differential operators ⋮ Uniqueness of a meromorphic function partially and normally sharing small functions with its different variants of generalized operator ⋮ Meromorphic functions of restricted hyper-order sharing small functions with their linear shift delay differential operator ⋮ Derivatives of meromorphic functions sharing polynomials with their difference operators ⋮ Results on a conjecture of Chen and Yi ⋮ Some unity results on entire functions and their difference operators related to 4 CM theorem

Cites Work

• Unnamed Item
• Entire functions sharing some values with their difference operators
• Entire functions and their higher order differences
• Value distribution and shared sets of differences of meromorphic functions
• Value sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity
• On sharing values of meromorphic functions and their differences
• Meromorphic functions sharing a set with applications to difference equations
• Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
• Entire functions that share finite values with their derivatives
• Uniqueness of meromorphic functions sharing values with their shifts
• Sur la dérivée des fonctions algébroïdes
• Clunie theorems for difference and q -difference polynomials

This page was built for publication: The conjecture on unity of meromorphic functions concerning their differences