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- Title
Some Analysis of the Coefficient-Related Problems for Functions of Bounded Turning Associated with a Symmetric Image Domain.
- Authors
Arif, Muhammad; Abbas, Muhammad; Alhefthi, Reem K.; Breaz, Daniel; Cotîrlă, Luminiţa-Ioana; Rapeanu, Eleonora
- Abstract
In the last few years, numerous subfamilies of univalent functions, whether directly or indirectly associated with exponential functions, have been introduced and thoroughly investigated. Among these, the families S e * , C e and R e defined by subordination to e z have been intensively investigated. While the coefficient problem on the class S e * and C e has been solved in many cases, in this paper, we mainly intend to compute the sharp estimates of some initial coefficients, the Feketo–Szegö inequality, and the sharp bounds of second- and third-order Hankel determinants for functions belonging to the class R e . This work has the potential to significantly enrich and enhance the exploration of univalent functions in conjunction with exponential functions, making the field more comprehensive and robust.
- Subjects
SYMMETRIC domains; UNIVALENT functions; HANKEL functions; EXPONENTIAL functions
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 11, p2090
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15112090