Notes on entire functions sharing an entire function of a smaller order with their difference operators

DOI10.1007/s00013-012-0425-8zbMath1276.30049OpenAlexW2026963500MaRDI QIDQ1759611

Cong-Yun Kang, Hong-Xun Yi, Xiao-Min Li

Publication date: 21 November 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-012-0425-8

zbMATH Keywords

difference operatorsentire functionsshared valuesuniqueness theorems

Mathematics Subject Classification ID

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

Related Items (9)

Uniqueness on linear difference polynomials of meromorphic functions ⋮ UNIQUENESS OF MEROMORPHIC FUNCTIONS CONCERNING THE SHIFTS AND DERIVATIVES ⋮ Unnamed Item ⋮ Entire function sharing a small function with its mixed-operators ⋮ Unnamed Item ⋮ Unicity of meromorphic functions concerning differences and small functions ⋮ On unicity of meromorphic functions concerning the shifts and derivatives ⋮ Meromorphic solutions of difference equations originated from Schwarzian differential equation ⋮ Some results on differential-difference analogues of Brück conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the complex oscillation of some linear differential equations
• A note on the Brück conjecture
• Uniqueness theorems of entire functions sharing a nonzero complex number with their difference operators
• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• Value distribution of difference polynomials
• Value distribution and shared sets of differences of meromorphic functions
• Value sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity
• Value distribution of the difference operator
• On entire functions which share one value CM with their first derivative
• Meromorphic functions sharing a set with applications to difference equations
• Slowly growing meromorphic functions
• Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
• Slowly growing integral and subharmonic functions
• Uniqueness of meromorphic functions sharing values with their shifts
• On meromorphic functions that share one value with their derivative
• Zeros of differences of meromorphic functions
• Clunie theorems for difference and q -difference polynomials

This page was built for publication: Notes on entire functions sharing an entire function of a smaller order with their difference operators