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On some subclasses of m-fold symmetric bi-univalent functions
Author(s) -
ALTINKAYA Şahsene YALÇIN
Publication year - 2017
Publication title -
communications faculty of science university of ankara series a1mathematics and statistics
Language(s) - English
Resource type - Journals
ISSN - 1303-5991
DOI - 10.1501/commua1_0000000827
Subject(s) - lambda , sigma , combinatorics , fold (higher order function) , mathematics , unit disk , symmetric function , unit (ring theory) , physics , computer science , quantum mechanics , programming language , mathematics education
In this work, we introduce two new subclasses S_{{\Sigma}_{m}}({\alpha},{\lambda}) and S_{{\Sigma}_{m}}(\b{eta},{\lambda}) of {\Sigma}_{m} consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disk U. Furthermore, for functions in each of the subclasses introduced in this paper, we obtain the coefficient bounds for |a_{m+1}| and |a_{2m+1}|.

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