Coefficient Estimates for a Family of Starlike Functions Endowed with Quasi Subordination on Conic Domain

Autor:	Arzu Akgül, Luminita-Ioana Cotîrlă
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	analytic function subordination quasi-subordination m-fold symmetric Fekete–Szegö inequality Mathematics QA1-939
Zdroj:	Symmetry, Vol 14, Iss 3, p 582 (2022)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym14030582
Popis:	In 1999, for (0≤k<∞), the concept of conic domain by defining k-uniform convex functions were introduced by Kanas and Wisniowska and then in 2000, they defined related k-starlike functions denoted by k−UCV and k−ST respectively. Motivated by their studies, in our work, we define the class of k-parabolic starlike functions, denoted k−SHm,q, by using quasi-subordination for m-fold symmetric analytic functions, making use of conic domain Ωk. We determine the coefficient bounds and estimate Fekete–Szegö functional by the help of m-th root transform and quasi subordination for functions belonging the class k−SHm,q.
Databáze:	Directory of Open Access Journals
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