Slice holomorphic solutions of some directional differential equations with bounded \(L\)-index in the same direction

DOI10.1515/DEMA-2019-0043zbMath1436.32004OpenAlexW2995693206MaRDI QIDQ1985712

O. B. Skaskiv, Liana Smolovyk, Andriy Bandura

Publication date: 7 April 2020

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2019-0043

zbMATH Keywords

bounded indexbounded \(L\)-index in directionslice holomorphic functions

Mathematics Subject Classification ID

Special families of functions of several complex variables (32A17) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Holomorphic functions of several complex variables (32A10)

Related Items (1)

Entire multivariate vector-valued functions of bounded \(\mathbf{L} \)-index: analog of Fricke's theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Entire functions of bounded \(\ell\)-distribution of values
• On the growth of entire solutions of linear differential equations
• Some criteria of boundedness of the \(L\)-index in direction for slice holomorphic functions of several complex variables
• Slice holomorphic functions in several variables with bounded \(L\)-index in direction
• Vector-valued bivariate entire functions of bounded index satisfying a system of differential equations
• Entire function of bounded \(L\)-index in direction.
• Asymptotic properties of entire transcendental solutions of algebraic differential equations
• Boundedness of the L-index in a direction of entire solutions of second order partial differential equation
• Analog of Hayman's Theorem and its Application to Some System of Linear Partial Di erential Equations

This page was built for publication: Slice holomorphic solutions of some directional differential equations with bounded \(L\)-index in the same direction