Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Applications of extreme point theory to classes of multivalent functions

Authors: David J. Hallenbeck and Albert E. Livingston
Journal: Trans. Amer. Math. Soc. 221 (1976), 339-359
MSC: Primary 30A32
MathSciNet review: 0407257
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Extreme points of the closed convex hulls of several classes of multivalent functions are determined. These are then used to determine the precise bounds on the coefficients of a function majorized by or subordinate to a function in any of the classes. $ {L^q}$ means are also discussed and subordination theorems are considered. The classes we consider are generalizations of the univalent starlike, convex and close-to-convex functions in addition to others.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 30A32

Retrieve articles in all journals with MSC: 30A32

Additional Information

Keywords: Extreme point, closed convex hull, multivalent function, multivalent starlike function, multivalent convex function, multivalent close-to-convex function, majorization, subordination, $ {L^q}$ means
Article copyright: © Copyright 1976 American Mathematical Society

American Mathematical Society