Hermitian-Toeplitz determinants for functions with bounded turning. (English) Zbl 1493.30030
Summary: There is a rich literature on estimation of second and third Hankel determinants for normalised analytic functions in geometric function theory. It is also, therefore, natural to explore the concept of the Hermitian-Toeplitz determinants for such functions. In this paper, the sharp lower and upper estimations for third-order Hermitian-Toeplitz determinant for functions with bounded turning of order \(\alpha\), are obtained.
MSC:
| 30C45 | Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) |
| 30C50 | Coefficient problems for univalent and multivalent functions of one complex variable |
Keywords:
analytic functions; functions with bounded turning of order \(\alpha\); Hermitian-Toeplitz determinantReferences:
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