Criteria for Starlikeness Using Schwarzian Derivatives

Autor:	Sebastian, Asha, Ravichandran, V.
Rok vydání:	2022
Předmět:	Mathematics - Complex Variables
Druh dokumentu:	Working Paper
Popis:	For a normalised analytic function f defined on the open unit disk in the complex plane, we determine several sufficient conditions for starlikeness in terms of the quotients Q_{ST}:=zf'(z)/f(z), Q_{CV}:=1+zf"(z)/f'(z) and the Schwarzian derivative Q_{SD}:=z^2((f"(z)/f'(z))'-(f"(z)/f'(z))^2/2)$. These conditions were obtained by using the admissibility criteria of starlikeness in the theory of second order differential subordination.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2201.00497 Zobrazit plný text záznamu View this record from Arxiv