On the convolution of analytic functions.

DOI10.1515/crll.1973.258.137zbMath0267.30012OpenAlexW4212790066MaRDI QIDQ5685354

T. Sheil-Small

Publication date: 1973

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN00218754X

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Spaces of bounded analytic functions of one complex variable (30H05) Power series, series of functions of several complex variables (32A05) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Coefficient problems for univalent and multivalent functions of one complex variable (30C50) Algebras of holomorphic functions of several complex variables (32A38)

Related Items (16)

An extremal differential inequality for analytic functions ⋮ Bound-preserving operators and Bernstein type inequalities ⋮ Multidimensional Hadamard composition ⋮ On Two Inequalities for Polynomials in the Unit Disk ⋮ Integral means inequalities, convolution, and univalent functions ⋮ Best approximation-preserving operators over Hardy space ⋮ New Inequalities for Polynomials ⋮ Bound-preserving operators and the maximum modulus of extremal polynomials ⋮ Sur une transformation des fonctionnelles analytiques et ses applications aux fonctions entières de plusieurs variables ⋮ Estimates of the derivatives of meromorphic maps from convex domains into concave domains ⋮ Asymptotics of the Bohr radius for polynomials of fixed degree ⋮ Coefficients of univalent functions ⋮ Remarks on a Multiplier Conjecture for Univalent Functions ⋮ The combined coefficient inequalities for subordinate functions ⋮ On a Multiplier Conjecture for Univalent Functions ⋮ A proof of the Livingston conjecture

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