On certain generalizations of S * ( ψ ) ${\mathcal{S}}^{\ast }(\psi )$ -II
Abstract
Abstract For the Ma-Minda classes S * ( ψ ) ${\mathcal{S}}^{\ast }(\psi )$ and C ( ψ ) $\mathcal{C}(\psi )$ of starlike and convex analytic functions or their natural generalization, we establish new certain sufficient conditions and derive the sharp radius constants with respect to convolution. We also find the Bohr radius for the class S f ( ψ ) : = g ( z ) = ∑ k = 1 ∞ b k z k : g ≺ f ${S}_{f}(\psi ):=\left\{g(z)={\sum }_{k=1}^{\infty }{b}_{k}{z}^{k}:g\prec f\right\}$ of subordinants, where f ∈ S * ( ψ ) $f\in {\mathcal{S}}^{\ast }(\psi )$ . The result improves or generalizes the several well-known results.
Fields of Study & Subjects
Analytic and geometric function theory
Approximation Theory and Sequence Spaces
Mathematical Inequalities and Applications
Publication details
- Journal / source
- Mathematica Slovaca
- Volume
- 76
- Issue
- 1
- Pages
- 143–160
- Publication date
- 28 January 2026
- Language
- EN