On bounded value distribution and bounded index

DOI10.1016/0362-546X(78)90049-4zbMath0383.30014MaRDI QIDQ4163730

S. M. Shah, Gerd H. Fricke

Publication date: 1978

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (9)

Slice holomorphic functions in the unit ball: boundedness of \(L\)-index in a direction and related properties ⋮ Univalence of a function f and its successive derivatives when f satisfies a differential equation ⋮ Analytic functions in the unit ball of bounded value \(L\)-distribution in a direction ⋮ Note on boundedness of the \(L\)-index in the direction of the composition of slice entire functions ⋮ Boundedness of \(l\)-index and completely regular growth of entire functions ⋮ Some criteria of boundedness of the \(L\)-index in direction for slice holomorphic functions of several complex variables ⋮ Partial logarithmic derivatives and distribution of zeros of analytic functions in the unit ball of bounded \(\mathbf{L}\)-index in joint variables ⋮ Entire solutions of linear differential equations and bounds for growth and index numbers ⋮ Vector-valued entire functions satisfying a differential equation

Cites Work

• Entire functions of locally slow growth
• Entire functions having positive zeros
• Entire functions with prescribed asymptotic behavior
• Functions of bounded index and their logarithmic derivatives
• The Lower Order of Integral Functions
• Entire Functions of Bounded Index
• Sums of Functions of Bounded Index
• On Entire Functions of Bounded Index Whose Derivatives are of Unbounded Index
• THE MAXIMUM TERM OF AN ENTIRE SERIES (III)
• Differential inequalities and local valency
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