Landau's theorem for harmonic Bloch functions on simply connected domains

Abstract

For (Formula presented.), let (Formula presented.) denote the class of harmonic ?-Bloch mappings on a proper simply connected domain (Formula presented.). In this article, we study coefficient estimates for harmonic ?-Bloch mappings on a proper simply connected domain containing the unit disk. Furthermore, we establish the Landau's theorem and coefficient estimates for the harmonic ?-Bloch space (Formula presented.) on the shifted disk (Formula presented.), where (Formula presented.) and (Formula presented.). � 2024 Informa UK Limited, trading as Taylor & Francis Group.