TOEPLITZ DETERMINANTS WHOSE ELEMENTS ARE the COEFFICIENTS of ANALYTIC and UNIVALENT FUNCTIONS

Authors

Md Firoz Ali, Indian Statistical Institute Chennai
D. K. Thomas, Swansea University
A. Vasudevarao, Indian Institute of Technology Kharagpur

Article Type

Research Article

Publication Title

Bulletin of the Australian Mathematical Society

Abstract

Let denote the class of analytic and univalent functions in D := {z ϵ C :|z| < 1} which are of the form f (z) = z + Σ∞n=2 anzn. We determine sharp estimates for the Toeplitz determinants whose elements are the Taylor coefficients of functions in and certain of its subclasses. We also discuss similar problems for typically real functions.

First Page

253

Last Page

264

DOI

10.1017/S0004972717001174

Publication Date

4-1-2018

Recommended Citation

Ali, Md Firoz; Thomas, D. K.; and Vasudevarao, A., "TOEPLITZ DETERMINANTS WHOSE ELEMENTS ARE the COEFFICIENTS of ANALYTIC and UNIVALENT FUNCTIONS" (2018). Journal Articles. 1422.
https://digitalcommons.isical.ac.in/journal-articles/1422