Toeplitz determinants associated with Ma-Minda classes of starlike and convex functions

Om. P. Ahuja; Kanika Khatter; V. Ravichandran

Toeplitz determinants associated with Ma-Minda classes of starlike and convex functions

Complex Variables 2021-06-01 v2

Authors: Om. P. Ahuja , Kanika Khatter , V. Ravichandran

Abstract

A starlike function $f$ is characterized by the quantity $zf'(z)/f(z)$ lying in the right half-plane. This paper deals with sharp bounds for certain symmetric Toeplitz determinants whose entries are the coefficients of the functions $f$ for which the quantity $zf'(z)/f(z)$ takes values in certain specific subset in the right half-plane. The results obtained include several new special cases and some known results.

Keywords

starlike function convex function toeplitz determinant ma-minda class sharp bound coefficient

Cite

@article{arxiv.2007.02869,
  title  = {Toeplitz determinants associated with Ma-Minda classes of starlike and convex functions},
  author = {Om. P. Ahuja and Kanika Khatter and V. Ravichandran},
  journal= {arXiv preprint arXiv:2007.02869},
  year   = {2021}
}

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