Wiman-Valiron theorem for q-differences

DOI10.5186/aasfm.2016.4118zbMath1341.30027OpenAlexW4253780696MaRDI QIDQ2790823

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Publication date: 8 March 2016

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2016.4118

zbMATH Keywords

entire functionsorder of growthPoisson-Jensen formulaWiman-Valiron theory

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Entire functions of one complex variable (general theory) (30D20) Functional equations for complex functions (39B32)

Related Items

A continuous transition from \(\mathcal{E} \)-sets to \(R\)-sets and beyond, Nevanlinna theory for Jackson difference operators and entire solutions of \(q\)-difference equations, Singular direction and \(q\)-difference operator of meromorphic functions

Cites Work

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• Zeros of differences of meromorphic functions
• On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions
• The Local Growth of Power Series: A Survey of the Wiman-Valiron Method
• Wiman-Valiron method for difference equations