Uniform estimates for local properties of analytic functions in a complete Reinahrdt domain

DOI10.30970/MS.61.2.168-175MaRDI QIDQ6589471

Tetyana Salo, A. I. Bandura

Publication date: 19 August 2024

Published in: Matematychni Studiï (Search for Journal in Brave)

zbMATH Keywords

analytic functionsReinhardt domain\(\mathbf L\)-index

Mathematics Subject Classification ID

Special families of functions of several complex variables (32A17) Special domains (Reinhardt, Hartogs, circular, tube, etc.) in (mathbb{C}^n) and complex manifolds (32Q02)

Cites Work

• Title not available (Why is that?)
• Logarithmic derivative and zeros of an entire function of bounded \(l\)- index
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• On the conditions for a special entire function related to the partial theta-function and the \(q\)-Kummer functions to belong to the Laguerre-Pólya class
• Slice holomorphic functions in several variables with bounded \(L\)-index in direction
• About some problem for entire functions of unbounded index in any direction
• Composition of entire functions and bounded \(L\)-index in direction
• Analytic functions in the unit ball of bounded \(L\)-index: asymptotic and local properties
• Vector-valued bivariate entire functions of bounded index satisfying a system of differential equations
• A domain free of the zeros of the partial theta function
• Multivalence of bivariate functions of bounded index
• Maximum modulus in a bidisc of analytic functions of bounded $L$-index and an analogue of Hayman's theorem
• Asymptotic estimates of entire functions of bounded $\mathbf{L}$-index in joint variables
• Entire bivariate functions of exponential type

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