The Study of the New Classes of m-Fold Symmetric bi-Univalent Functions

Daniel Breaz and Luminiţa-Ioana Cotîrlă
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Daniel Breaz: Department of Mathematics, University of Alba Iulia, 510009 Alba Iulia, Romania
Luminiţa-Ioana Cotîrlă: Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

Mathematics, 2021, vol. 10, issue 1, 1-11

Abstract: In this paper, we introduce three new subclasses of m-fold symmetric holomorphic functions in the open unit disk U , where the functions f and f − 1 are m-fold symmetric holomorphic functions in the open unit disk. We denote these classes of functions by F S Σ , m p , q , s ( d ) , F S Σ , m p , q , s ( e ) and F S Σ , m p , q , s , h , r . As the Fekete-Szegö problem for different classes of functions is a topic of great interest, we study the Fekete-Szegö functional and we obtain estimates on coefficients for the new function classes.

Keywords: Fekete-Szegö problem; coeffcient bounds and coeffcient estimates; bi-univalent functions; bi-pseudo-starlike functions; m-fold symmetric; analytic functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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