A non-power series approach to Wiman-Valiron type theorems

DOI10.5186/aasfm.2016.4124zbMath1337.30041OpenAlexW4230704438MaRDI QIDQ2790828

John Rossi, Peter C. Fenton

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.2016.4124

zbMATH Keywords

subharmonic functionWiman-Valiron theorycentral indexdirect track

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Entire functions of one complex variable (general theory) (30D20) Meromorphic functions of one complex variable (general theory) (30D30)

Cites Work

• Unnamed Item
• Subharmonic functions that are harmonic when they are large
• ODEs and Wiman-Valiron theory in the unit disc
• Wiman-Valiron theory for a class of functions meromorphic in the unit disc
• Two-variable Wiman-Valiron theory and PDEs
• On a Lemma of Bergweiler
• Dynamics of meromorphic functions with direct or logarithmic singularities
• The Local Growth of Power Series: A Survey of the Wiman-Valiron Method
• Polynomial approximation of entire functions of two variables
• Wiman-Valiron Theory in Two Variables
• Uniqueness theorems and uniqueness polynomials for holomorphic curves

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