Some applications of Cartan's theorem to normality and semiduality of gap power series

DOI10.1007/BF02791227zbMath0970.30003OpenAlexW2075395578MaRDI QIDQ5926435

Jürgen Grahl

Publication date: 21 October 2001

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02791227

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Normal functions of one complex variable, normal families (30D45)

Related Items (5)

Semiduality of small sets of analytic functions ⋮ Differential polynomials with dilations in the argument and normal families ⋮ A modification of the Nevanlinna theory ⋮ Bloch's principle ⋮ Some new results on the semiduality of small sets of analytic functions

Cites Work

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• Normal families of gap power series
• On the quantity \(\delta _ s(g(z),f)\) of gappy entire functions
• Normal families
• On Dual Sets of Analytic Functions
• Value Distribution and A.P. Gaps
• Duality for Hadamard Products With Applications to Extremal Problems for Functions Regular in the Unit Disc
• A Heuristic Principle in Complex Function Theory
• A note on the cyclotomic polynomial
• Holomorphic curves omitting five planes in projective space

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