On the existence and uniqueness of meromorphic solutions of \(m\) th order Schwarzian difference equation

DOI10.1134/S1995080222150070OpenAlexW4327798562MaRDI QIDQ2700041

Yanyan Li

Publication date: 20 April 2023

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222150070

zbMATH Keywords

uniquenessmeromorphic functionBorel exceptional valueSchwarzian differential equation

Mathematics Subject Classification ID

Difference equations (39Axx) Entire and meromorphic functions of one complex variable, and related topics (30Dxx) Ordinary differential equations in the complex domain (34Mxx)

Cites Work

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• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• Nevanlinna theory and complex differential equations
• Admissible solutions of the Schwarzian type difference equation
• Relationships between characteristic functions of \(\Delta^nf\) and \(f\)
• Uniqueness for meromorphic solutions of Schwarzian differential equation
• On the growth of meromorphic solutions of the schwarzian differential equations
• Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
• Zeros of differences of meromorphic functions
• Clunie theorems for difference and q -difference polynomials
• Meromorphic solutions of difference equations originated from Schwarzian differential equation

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