ON SOME SUBCLASSES OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.67, no.1, pp.29-36, 2018 (ESCI, TRDizin)
- Publication Type: Article / Article
- Volume: 67 Issue: 1
- Publication Date: 2018
- Doi Number: 10.1501/commual_0000000827
- Journal Name: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
- Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Page Numbers: pp.29-36
- Keywords: Analytic functions, m-fold symmetric bi-univalent functions, coefficient bounds, COEFFICIENT BOUNDS, GENERAL SUBCLASS
- Bursa Uludag University Affiliated: Yes
Abstract
In this work, we introduce two new subclasses S-Sigma m (alpha, lambda) and S-Sigma m (beta, lambda) of Sigma(m) consisting of analytic and m -fold symmetric bi-univalent functions in the open unit disc U. Furthermore, for functions in each of the subclasses introduced in this paper, we obtain the coefficient bounds for vertical bar a(m)+1 vertical bar and alpha(2m)+1 vertical bar.