The deficiency of entire functions with Fejer gaps

DOI10.5802/aif.930zbMath0489.30028OpenAlexW2021985134MaRDI QIDQ1166654

Takafumi Murai

Publication date: 1983

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1983__33_3_39_0

zbMATH Keywords

deficiencyFabry gapFejer gap

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items (10)

Unnamed Item ⋮ Complex Dynamical Properties of Some Special Entire Functions ⋮ Lower order and limiting directions of Julia sets of solutions to second order differential equations ⋮ Functions with no unbounded Fatou components ⋮ Unnamed Item ⋮ Bounded Fatou components of composite transcendental entire functions with gaps ⋮ On the Fatou set of an entire function with gaps ⋮ Growth of solutions of second order linear differential equations ⋮ Asymptotic estimate of the sum of a Dirichlet series on curves ⋮ A note on the Julia sets of entire solutions to delay differential equations

Cites Work

• On the Borel exceptional values of lacunary integral functions
• A gap-theorem for entire functions of infinite order
• Proof of a conjecture of G. Polya concerning gap series
• THE DEFICIENCY OF GAP SERIES
• On Integral Functions with Exceptional Values
• An Analogue of a Theorem of W. H. J. Fuchs on Gap Series
• Angular Value Distribution of Power Series with Gaps
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