Effective finiteness of solutions to certain differential and difference equations

DOI10.4153/S0008439521000072zbMath1489.39021arXiv2011.02968OpenAlexW3130953626WikidataQ115213793 ScholiaQ115213793MaRDI QIDQ5065909

Patrick Ingram

Publication date: 23 March 2022

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.02968

zbMATH Keywords

difference equationsdifferential equationsrational functionsarithmetic geometry

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Growth and boundedness of solutions to ordinary differential equations (34C11) Heights (11G50) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Growth, boundedness, comparison of solutions to difference equations (39A22) Difference equations in the complex domain (39A45)

Cites Work

• Meromorphic solutions of a differential equation with polynomial coefficients
• On the meromorphic solutions of some algebraic differential equations
• Arithmetic height functions over finitely generated fields
• A polynomial time algorithm for finding rational general solutions of first order autonomous ODEs
• Periodic points on an algebraic variety
• On Some Inequalities for Polynomials in Several Variables
• On the Composition of Transcendental Entire and Meromorphic Functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Effective finiteness of solutions to certain differential and difference equations