Vector-valued entire functions satisfying a differential equation

DOI10.1016/S0022-247X(86)80003-8zbMath0588.30030WikidataQ115340185 ScholiaQ115340185MaRDI QIDQ1073211

Ranjan Roy, S. M. Shah

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

bounded indexvector-valued entire function

Mathematics Subject Classification ID

Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Special classes of entire functions of one complex variable and growth estimates (30D15) Generalized function theory (30G99)

Related Items (6)

Vector-valued bivariate entire functions of bounded index satisfying a system of differential equations ⋮ Functions of bounded index, bounded value distribution and v-bounded index ⋮ Entire curves having bounded \(l\)-index in \(\ell_{\infty}\) ⋮ 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

Cites Work

• Bounded index, entire solutions of ordinary differential equations and summability methods
• Vector-valued entire functions of bounded index satisfying a differential equation
• On bounded value distribution and bounded index
• Entire solutions of linear differential equations and bounds for growth and index numbers
• Entire Functions of Bounded Index
• On Entire Functions of Bounded Index Whose Derivatives are of Unbounded Index
• Differential inequalities and local valency
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