Univalence of a function f and its successive derivatives when f satisfies a differential equation. II

DOI10.1016/0022-247X(89)90011-5zbMath0688.30010OpenAlexW2008462409WikidataQ115364515 ScholiaQ115364515MaRDI QIDQ1263694

S. M. Shah

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-247x(89)90011-5

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Linear ordinary differential equations and systems (34A30)

Related Items (7)

On meromorphically starlike functions of order $\alpha$ and type $\beta$, which satisfy Shah's differential equation ⋮ On harmonic entire mappings ⋮ Properties of entire solutions to a differential equation ⋮ Properties of analytic solutions of a differential equation ⋮ Properties of solutions of a heterogeneous differential equation of the second order ⋮ Locally univalence of Dirichlet series satisfying a linear differential equation of second order with exponential coefficients ⋮ Entire solutions of nonhomogeneous linear differential equations

Cites Work

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• Univalence of a function f and its successive derivatives when f satisfies a differential equation
• Univalence of derivatives of functions defined by gap power series. II
• The order of an entire function with some derivatives univalent
• Univalent derivatives of entire functions
• Related Interpolation Problems
• Entire Functions with Some Derivatives Univalent
• Univalence of Derivatives of Functions Defined by Gap Power Series

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