Analytic functions with univalent derivatives and entire functions of exponential type

DOI10.1090/S0002-9904-1972-12900-8zbMath0229.30024OpenAlexW1991009056MaRDI QIDQ5637185

S. M. Shah

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1090/s0002-9904-1972-12900-8

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) 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)

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Cites Work

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• A new proof of the Bieberbach conjecture for the fourth coefficient
• The close-to-convexity and univalence of an integral
• On the local maximum property of the Koebe function
• The local maximum theorem for the coefficients of univalent functions
• A coefficient problem for a class of univalent functions
• Univalent power series whose coefficients have monotonic properties
• A proof of the Bieberbach conjecture for the sixth coefficient
• Univalent derivatives of entire functions of slow growth
• The type of an entire function satisfying a linear differential equation
• An inequality involving the Bessel function and its derivatives
• A Banach space of locally univalent functions
• Entire functions of unbounded index and having simple zeros
• On the growth of entire functions of bounded index
• Entire functions defined by gap power series and satisfying a differential equation
• Radii of starlikeness of certain classes of analytic functions
• The sum of univalent functions
• Proof of the Bieberbach conjecture for a certain class of univalent functions
• Linear spaces and linear-invariant families of locally univalent analytic functions
• Entire functions with univalent derivatives
• The Hardy class of some univalent functions and their derivatives
• Some remarks on convex maps of the unit disk
• The Whittaker constant and successive derivatives of entire functions
• On results of Ahlfors and Hayman
• Indices of Lindelöf functions and their derivatives
• Über die Mittelwerte und Koeffizienten multivalenter Funktionen
• A theorem of Boas
• On mean one-valent functions
• Beiträge zur absoluten Limitierung
• A survey of the developement of the theory of schlicht functions
• Close-to-convex schlicht functions
• On the number of zeros of successive derivatives of analytic functions
• On Products of Starlike Functions
• The Lower Order of Integral Functions
• Coefficient Problems for Univalent Functions and Related Function Classes
• On Integral Functions Having Prescribed Asymptotic Growth
• Sur les coefficients des fonctions univalentes dans le cercle unité
• The Valence of Sums and Products
• Some Classes of Regular Univalent Functions
• Domains of Variability for Univalent Polynomials
• Entire and Meromorphic Functions with Asymptotically Prescribed Characteristic
• Entire Functions of Bounded Index
• Univalent Functions and Nonanalytic Curves
• Univalent Derivatives of Entire Functions
• The Coefficients of Starlike Functions
• On the Radius of Univalence of Certain Classes of Analytic Functions
• Open problems on univalent and multivalent functions
• Univalent functions with univalent derivatives
• Entire Functions of Bounded Index
• Univalent Functions with Univalent Derivatives. II
• Univalence Conditions and Sturm-Liouville Eigenvalues
• The Radius of Univalence of Certain Analytic Functions
• Quasi-subordination and coefficient conjectures
• Related Interpolation Problems
• Inequalities Satisfied by Entire Functions and their Derivatives
• Entire functions of exponential type
• Coefficient Estimates for a Class of Star-Like Functions
• On the Radius of Curvature for Convex Analytic Functions
• The radius of p-valent starlikeness for certain classes of analytic functions
• An elementary proof of the Bieberbach conjecture for the sixth coefficient
• Sums of Functions of Bounded Index
• On Entire Functions of Bounded Index Whose Derivatives are of Unbounded Index
• A New Class of Functions of Bounded Index
• On entire functions of exponential type
• Whittaker Constants
• The Schwarzian derivative and schlicht functions
• On the zeros of the derivatives of a function and its analytic character
• On the univalence of a certain integral
• The functions of bounded index as a subspace of a space of entire functions
• Holomorphic functions with mean \(p\)-valent derivatives