Bi-Univalency of m -Fold Symmetric Functions Associated with a Generalized Distribution

Sunday Oluwafemi Olatunji, Fethiye Müge Sakar (), Nicoleta Breaz, Seher Melike Aydoǧan and Matthew Olanrewaju Oluwayemi
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Sunday Oluwafemi Olatunji: Department of Mathematical Sciences, Federal University of Technology, Akure 340110, Ondo State, Nigeria
Fethiye Müge Sakar: Department of Management, Dicle University, Diyarbakır 21280, Turkey
Nicoleta Breaz: Department of Computer Science, Mathematics and Electronics, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, Romania
Seher Melike Aydoǧan: Department of Mathematics, Istanbul Technical University, Istanbul 34485, Turkey
Matthew Olanrewaju Oluwayemi: Department of Mathematics and Statistics, Margaret Lawrence University, Galilee 321108, Delta State, Nigeria

Mathematics, 2024, vol. 12, issue 2, 1-10

Abstract: The m -fold symmetric in terms of a generalized distribution series has not been considered in the literature. In this study, however, the authors investigated the bi-univalency of m -fold symmetric functions for the generalized distribution of two subclasses of analytic functions. The initial few coefficient bounds a m S and a 2 m S are obtained for the two subclasses of functions defined and the results serve as a new generalization in this direction.

Keywords: univalent function; analytic function; m -fold symmetric; distribution series; star-like function; convex function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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