Close-to-starlike holomorphic functions of several variables

DOI10.2140/PJM.1975.57.271zbMath0319.32011OpenAlexW1990586510MaRDI QIDQ1222767

John A. Pfaltzgraff, Ted J. Suffridge

Publication date: 1975

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1975.57.271

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Other generalizations of function theory of one complex variable (32A30)

Related Items (16)

Growth theorems and coefficient bounds for univalent holomorphic mappings which have parametric representation ⋮ Parabolic starlike mappings in several complex variables ⋮ Fekete-Szegö problem for Bavrin's functions and close-to-starlike mappings in \(\mathbb{C}^n\) ⋮ Necessary conditions for the existence of higher order extensions of univalent mappings from the disk to the ball ⋮ Loewner chains and parametric representation in several complex variables ⋮ The Fekete-Szegö inequality and successive coefficients difference for a subclass of close-to-starlike mappings in complex Banach spaces ⋮ g −Loewner chain associated with Muir-type extension operator ⋮ Asymptotically spirallike mappings in several complex variables ⋮ Relations among starlikeness, convexity and \(k\)-fold symmetry of locally biholomorphic mappings in \(\mathbb{C}^n\) ⋮ A class of Loewner chain preserving extension operators ⋮ Loewner chains associated with the generalized Roper-Suffridge extension operator on some domains ⋮ Properties of new holomorphic mappings with respect to conic domains ⋮ Loewner chains associated with close to almost starlike mappings of order \(\alpha \) ⋮ Loewner chains and the Roper-Suffridge extension operator ⋮ On an application of Jack's lemma, starlikeness and \(k\)-fold symmetry in \(\mathbb{C}^n\) ⋮ Univalent mappings associated with the Roper-Suffridge extension operator

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