Order, type and cotype of growth for \(p\)-adic entire functions: a survey with additional properties

DOI10.1134/S2070046616040026zbMath1432.30031OpenAlexW2548469664MaRDI QIDQ1702088

Kamal Boussaf, Alain Escassut, Abdelbaki Boutabaa

Publication date: 27 February 2018

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046616040026

zbMATH Keywords

growth of entire functions\(p\)-adic entire functionsorder of growth, type and cotype of growth

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02) Non-Archimedean function theory (30G06)

Related Items (9)

On the growth properties of relative \((p, q)\)-th order and relative \((p, q)\)-th type of composite \(p\)-adic entire functions of several complex variables ⋮ Relative $(p,q)-\varphi$ order based some growth analysis of composite $p$-adic entire functions ⋮ On the growth order of meromorphic solutions of some ultrametric \(q \)-difference equations ⋮ On some properties of ultrametric meromorphic solutions of Malmquist type ⋮ $(p,q)$th order oriented growth measurement of composite $p$-adic entire functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Growth of analytic functions in an ultrametric open disk and branched values ⋮ Relative order and relative type based growth properties of iterated $p$ adic entire functions

Cites Work

• Zeros of the derivative of a \(p\)-adic meromorphic function
• Entire and meromorphic functions. With assistance from James E. Colliander
• Value Distribution in p-adic Analysis
• Some old and new results on zeros of the derivative of a 𝑝-adic meromorphic function
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