Boundary behaviour of holomorphic functions on the cardioid domain with some applications

The objective of this research paper is to show how the Bennan'sconjecture  become a useful tool  to construct a holomorphic function on the cardioid domain, and on the boundary of unit disk. Moreover , we have addressed some applications on the existence of cusp on the boundary of arising fro...

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Bibliographic Details
Main Authors: Shatha Sami Alhily, _ Deepmala
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2019-10-01
Series:Boletim da Sociedade Paranaense de Matemática
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/44284