Univalence of Derivatives of Functions Defined by Gap Power Series

DOI10.1112/jlms/s2-9.3.501zbMath0262.30022OpenAlexW1963742868MaRDI QIDQ5677768

S. M. Shah, Selden Y. Trimble

Publication date: 1975

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-9.3.501

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Representations of entire functions of one complex variable by series and integrals (30D10) Special classes of entire functions of one complex variable and growth estimates (30D15) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (3)

Univalent functions with univalent Gelfond-Leontev derivatives ⋮ Univalence of derivatives of functions defined by gap power series. II ⋮ Univalence of a function f and its successive derivatives when f satisfies a differential equation. II

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