Problems concerning sharp coefficient functionals of bounded turning functionsopen access
- Authors
- Khan, Muhammmad Ghaffar; Mashwani, Wali Khan; Ro, Jong-Suk; Ahmad, Bakhtiar
- Issue Date
- 2023
- Publisher
- American Institute of Mathematical Sciences
- Keywords
- Hankel determinant; holomorphic functions; hyperbolic function; subordination
- Citation
- AIMS Mathematics, v.8, no.11, pp 27396 - 27413
- Pages
- 18
- Journal Title
- AIMS Mathematics
- Volume
- 8
- Number
- 11
- Start Page
- 27396
- End Page
- 27413
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/68365
- DOI
- 10.3934/math.20231402
- ISSN
- 2473-6988
2473-6988
- Abstract
- The work presented in this article has been motivated by the recent research going on the Hankel determinant bounds and their related consequences, as well as the techniques used previously by many different authors. We aim to establish a new subfamily of holomorphic functions connected with the hyperbolic tangent function with bounded boundary rotation. We investigate the sharp estimate of the third Hankel determinant for this newly defined family of functions. Moreover, for the defined functions family, the Krushkal inequality, the first four initial sharp bounds of the logarithmic coefficients and the sharp second Hankel determinant of the logarithmic coefficients are given. © 2023 the Author(s), licensee AIMS Press.
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