Analog of Hayman's Theorem and its Application to Some System of Linear Partial Di erential Equations

DOI10.15407/MAG15.02.170zbMath1426.32001OpenAlexW2950192094WikidataQ127644772 ScholiaQ127644772MaRDI QIDQ5235912

O. B. Skaskiv, Andriy Bandura

Publication date: 14 October 2019

Published in: Zurnal matematiceskoj fiziki, analiza, geometrii (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15407/mag15.02.170

zbMATH Keywords

entire functionsbounded \(\mathbf{L}\)-index in joint variableshigher-order systems of linear partial differential equations

Mathematics Subject Classification ID

Entire functions of several complex variables (32A15) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Other partial differential equations of complex analysis in several variables (32W50)

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Slice holomorphic functions in the unit ball: boundedness of \(L\)-index in a direction and related properties ⋮ On an attempt to introduce a notion of bounded index for the Fueter regular functions of the quaternionic variable ⋮ Entire multivariate vector-valued functions of bounded \(\mathbf{L} \)-index: analog of Fricke's theorem ⋮ Slice holomorphic solutions of some directional differential equations with bounded \(L\)-index in the same direction ⋮ Analytic vector-functions in the unit ball having bounded $\mathbf{L}$-index in joint variables ⋮ Growth Estimates for Analytic Vector-Valued Functions in the Unit Ball Having Bounded $\mathbf{L}$-index in Joint Variables ⋮ Analogs of Hayman's theorem and of logarithmic criterion for analytic vector-valued functions in the unit ball having bounded L-index in joint variables ⋮ Local properties of the entire functions of bounded index in a frame

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