On the growth of solutions of difference equations in ultrametric fields

DOI10.1016/J.INDAG.2015.08.005zbMath1371.39021OpenAlexW1264567225MaRDI QIDQ904168

S. Bourourou, Abdelbaki Boutabaa, Tahar Zerzaihi

Publication date: 12 January 2016

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2015.08.005

zbMATH Keywords

difference equationsNevanlinna theoryorder of growthultrametric meromorphic functions

Mathematics Subject Classification ID

Non-Archimedean function theory (30G06) Functional equations for complex functions (39B32) Difference algebra (12H10)

Related Items (2)

On the growth order of meromorphic solutions of some ultrametric \(q \)-difference equations ⋮ On some properties of ultrametric meromorphic solutions of Malmquist type

Cites Work

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• On \(p\)-adic functional equations in \(q\)-differences
• Growth and zeros of meromorphic solution of some linear difference equations
• Theorie de Nevanlinna p-adique. (p-adic Nevanlinna theory)
• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• On \(q\)- difference functional equations
• Applications of \(p\)-adic Nevanlinna theory
• Growth of meromorphic solutions of some functional equations I
• Meromorphic solutions of some linear functional equations
• On some ultrametric \(q\)-difference equations
• URS AND URSIMS FOR P-ADIC MEROMORPHIC FUNCTIONS INSIDE A DISC

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