TOEPLITZ DETERMINANTS WHOSE ELEMENTS ARE THE COEFFICIENTS OF ANALYTIC AND UNIVALENT FUNCTIONS

2018/02/26 by MD FIROZ ALI, Md Firoz Ali, D. K. THOMAS +2 · 4 citations
Mathematics · #Analytic and geometric function theory #Holomorphic and Operator Theory #Algebraic and Geometric Analysis

paper · doi:10.1017/s0004972717001174

Abstract

Let S denote the class of analytic and univalent functions in \mathbbD:=\z∈ ℂ:|z|<1\ which are of the form f(z)=z+∑ _n=2^∞ a_nzⁿ . We determine sharp estimates for the Toeplitz determinants whose elements are the Taylor coefficients of functions in S and certain of its subclasses. We also discuss similar problems for typically real functions.

Cited by

• Toeplitz and symmetric Toeplitz determinants for inverse functions of certain classes of univalent functions
• Toeplitz determinants associated with Ma-Minda classes of starlike and convex functions
• Symmetric Toeplitz determinants of some classes of univalent functions
• Coefficient estimates for the class of q-starlike functions

Related

• Toeplitz determinants whose elements are the coefficients of univalent functions
• Toeplitz determinants of Logarithmic coefficients for Starlike and Convex functions
• Toeplitz Determinants for Inverse Functions and their Logarithmic Coefficients Associated with Ma-Minda Classes
• Symmetric Toeplitz determinants of some classes of univalent functions
• Toeplitz Determinants in One and Higher Dimensions