Article
2025
·
2 citations
Coefficient estimates for power Bi-univalent Ma-Minda starlike and derivative functions
Abstract
In this paper, we establish the initial Taylor-Maclaurin coefficients for normalized analytic functions f in the open unit disk. We also assume that f and its inverse g=f(-1) satisfy the following conditions e(i phi)[f '(z)](tau)[(z)/(f(z))](nu)<psi(z) cos phi+i sin phi and e(i phi) [g '(z)](tau)[(z)/(g(z))](nu) for -pi/2<phi<pi/2, where psi is a univalent function whose range is symmetric with respect to the real axis, and tau and nu are non-zero real numbers. We also examine other classes of related functions and establish connections with previously known results.
Keywords
Bi-univalent functions
Inverse functions
Taylor Maclaurin series
Coefficient bounds
Subordination
Power bi-derivative of Ma-Minda type
Power bi-starlike of Ma-Minda type
WoS Categories
Mathematics
Citation
- Journal
- JOURNAL OF ANALYSIS
- Year
- 2025
- Volume
- 33
- Issue
- 4
- Pages
- 1755-1769
- ISSN
- 0971-3611
- eISSN
- 2367-2501
- DOI
- 10.1007/s41478-025-00893-x
- WoS UID
- WOS:001432052600001