English

Toeplitz determinants of Logarithmic coefficients for Starlike and Convex functions

Complex Variables 2023-03-28 v1

Abstract

In this study, we deal with the sharp bounds of certain Toeplitz determinants whose entries are the logarithmic coefficients of analytic univalent functions ff such that the quantity zf(z)/f(z)z f'(z)/f(z) takes values in a specific domain lying in the right half plane. The established results provide the bounds for the classes of starlike and convex functions, as well as various of their subclasses.

Keywords

Cite

@article{arxiv.2303.14712,
  title  = {Toeplitz determinants of Logarithmic coefficients for Starlike and Convex functions},
  author = {Surya Giri and S. Sivaprasad Kumar},
  journal= {arXiv preprint arXiv:2303.14712},
  year   = {2023}
}