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- Title
Certain classes of bi-univalent functions with bounded boundary variation.
- Authors
Orhan, H.; Magesh, N.; Balaji, V. K.
- Abstract
In their pioneering work dated 2010 on the subject of bi-univalent functions, Srivastava et al. actually revived the study of the coefficient problems involving bi-univalent functions in recent years. Inspired by the pioneering work of Srivastava et al., there has been triggering interest to study the coefficient problems for many different subclasses of bi-univalent functions. Motivated largely by a number of sequels to the investigation by Srivastava et al., in this paper, we consider certain classes of bi-univalent functions to obtain the estimates of their second and third Taylor-Maclaurin coeficients. Further, certain special cases are also indicated. Some interesting remarks about the results presented here are also discussed.
- Subjects
UNIVALENT functions; SET theory; MATHEMATICAL bounds; BOUNDARY value problems; COEFFICIENTS (Statistics)
- Publication
Tbilisi Mathematical Journal, 2017, Vol 10, Issue 4, p17
- ISSN
1875-158X
- Publication type
Article
- DOI
10.1515/tmj-2017-0042