Bibliographic Details
| Title: |
Some Analysis of the Coefficient-Related Problems for Functions of Bounded Turning Associated with a Symmetric Image Domain. |
| Authors: |
Arif, Muhammad1 (AUTHOR) marifmaths@awkum.edu.pk, Abbas, Muhammad1 (AUTHOR) muhammad_abbas@awkum.edu.pk, Alhefthi, Reem K.2 (AUTHOR) raseeri@ksu.edu.sa, Breaz, Daniel3 (AUTHOR) dbreaz@uab.ro, Cotîrlă, Luminiţa-Ioana4 (AUTHOR) luminita.cotirla@math.utcluj.ro, Rapeanu, Eleonora5 (AUTHOR) eleonora.rapeanu@anmb.ro |
| Source: |
Symmetry (20738994). Nov2023, Vol. 15 Issue 11, p2090. 17p. |
| Subject Terms: |
*SYMMETRIC domains, *UNIVALENT functions, *HANKEL functions, *EXPONENTIAL functions |
| 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. [ABSTRACT FROM AUTHOR] |
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