Coefficient estimates for power Bi–univalent Ma-Minda starlike and derivative functions
Journal of Analysis, cilt.33, sa.4, ss.1755-1769, 2025 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 33 Sayı: 4
- Basım Tarihi: 2025
- Doi Numarası: 10.1007/s41478-025-00893-x
- Dergi Adı: Journal of Analysis
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.1755-1769
- Anahtar Kelimeler: Bi–univalent functions, Coefficient bounds, Inverse functions, Power bi-derivative of Ma-Minda type, Power bi-starlike of Ma-Minda type, Subordination, Taylor Maclaurin series
- Atatürk Üniversitesi Adresli: Evet
Özet
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 (Formula presented.) for -π/2<ϕ<π/2, where ψ is a univalent function whose range is symmetric with respect to the real axis, and τ and ν are non-zero real numbers. We also examine other classes of related functions and establish connections with previously known results.