Work

A Class of Regular Functions Containing Spirallike and Close-to-Convex Functions

Year: 1972

Type: article

Abstract: A class of functions A \mathcal {A} is defined which contains the spirallike and close-to-convex functions. By decomposing A \mathcal {A} into subclasses in a natural way, some basic properties of A \mathcal {A} and these subclasses are determined, including solutions to extremal problems; distortion theorems; coefficient inequalities; and the radii of convexity and close-to-convexity.

Source: Transactions of the American Mathematical Society

DOI: 10.1090/s0002-9947-1972-0291436-8

Author: M. R. Ziegler

Institution: University of Delaware

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2018100417

FWCI:

Cites: 18

Cited by: 2

Related to: 10