The fourth-order Hermitian Toeplitz determinant for convex functions

Abstract

The sharp bounds for the fourth-order Hermitian Toeplitz determinant over the class of convex functions are computed.

Hermitian-Toeplitz determinants for certain univalent functions

“…Kowalczyk et al [11] also attained the bounds for the classes F 2 and F 3 . For more work in this direction one can see [1,2,3,18,19].…”

Some properties of certain close-to-convex harmonic mappings

“…In recent years, the Toeplitz determinants and Hankel determinants of functions in the class S or its subclasses have attracted many researchers' attention (see [11,16,18,19,27,28,[31][32][33][34]). Among them, the symmetric Toeplitz determinant |T q (n)| estimates for subclasses of S with small values of n and q, are investigated by [2,7,10,45,52,53].…”