On certain generalizations of S* (ψ) S^ () -II

Key Points

The study finds new sufficient conditions for starlike and convex functions, enhancing existing frameworks.
Key metrics derived include sharp radius constants related to convolution operations within these function classes.
The analysis involves examining the Bohr radius for classes of subordinants, expanding upon previous theoretical results.
Implications of the findings suggest expanded applications for studying analytic functions in mathematics.

Abstract

Abstract For the Ma-Minda classes S * (ψ) S^ () and C (ψ) C () 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 S₅ (): =\g (z) ={ ₊=₁^ b₊z^k: g f\} of subordinants, where f ∈ S * (ψ) f S^ (). The result improves or generalizes the several well-known results.

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Cite This Study

Gangania et al. (Wed,) studied this question.

synapsesocial.com/papers/69a75c0fc6e9836116a2476c https://doi.org/https://doi.org/10.1515/ms-2025-1159

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