ON RADIUS PROBLEMS FOR SOME SUBCLASSES OF ANALYTIC UNIVALENT FUNCTIONS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 246

Volume : 17 , Issue : 3
DOI:
Author :
U. Vadivelan (Department of Mathematics, Nazareth College of Arts and Science, Chennai – 600062, Tamil Nadu, INDIA)
S. Sunil Varma (Department of Mathematics, Madras Christian College, Tambaram, Chennai - 600059, Tamil Nadu, INDIA)
Thomas Rosy (Department of Mathematics, Madras Christian College, Tambaram, Chennai - 600059, Tamil Nadu, INDIA)

Abstract

In this article we compute the radii of the largest disks for which the functions in the class $\mathcal{S}$ of normalized, analytic and univalent functions belong to certain subclasses of it.

Keywords and Phrases

Analytic function, univalent function, radius problem, polynomial equations.

A.M.S. subject classification

30C45.

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