English

A note on a subclass of bazilevi\v{c} functions

Complex Variables 2026-04-20 v1

Abstract

In this artcle, we introduce and investigate a subclass of Bazilevi{\v{c}} functions, denoted by BφA,B(α(m))\mathcal{B}_{\varphi_{A,B}}(\alpha^{(m)}). We determine the Hardy space to which this subclass of Bazilevi{\v{c}} functions belong to. Additionally, we provide a necessary condition for a particular case of this subclass. Finally, we obtain a sharp coefficient estimate for the functions associated with B1(α).\mathcal{B}_1(\alpha).

Cite

@article{arxiv.2604.15974,
  title  = {A note on a subclass of bazilevi\v{c} functions},
  author = {Lokenath Thakur},
  journal= {arXiv preprint arXiv:2604.15974},
  year   = {2026}
}
R2 v1 2026-07-01T12:14:16.633Z