Abstract
Let B be the unit disk U in C or the unit ball of a general complex Banach space. In this paper, we obtain a refinement of the Fekete–Szegö inequality for the class of S k + 1 0 ( B ) of mappings f for which there exist g-Loewner chains f ( z , t ) , where g ( ξ ) = 1 + ξ 1 − ξ , ξ ∈ U , such that f ( z ) = f ( z , 0 ) and z = 0 is a zero of order k + 1 of e − t f ( z , t ) − z for each t ≥ 0 . The results presented generalize the classical Fekete–Szegö inequality and the results in Hamada et al. (Fekete–Szegö problem for univalent mappings in one and higher dimensions. J Math Anal Appl. 2022;516:126526).
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
