Coefficient estimates for power Bi–univalent Ma-Minda starlike and derivative functions

ORHAN H., Masih V. S., Ebadian A.

Journal of Analysis, 2025 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • 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
  • 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.