Radius and Convolution problems of analytic functions involving Semigroup Generators

Surya Giri; S. Sivaprasad Kumar

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arXiv · 2205.10777

Radius and Convolution problems of analytic functions involving Semigroup Generators

Surya Giri·S. Sivaprasad Kumar

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Abstract

We establish the membership criteria in terms of Hadamard product for a normalized analytic function to be in the class of infinitesimal generators. Furthermore, the embedding of various subclasses of normalized univalent functions in the class of infinitesimal generators and the radii problems for this class are studied. The results derived, generalize the already known results.

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Surya Giri, S. Sivaprasad Kumar. 2022-05-22. Radius and Convolution problems of analytic functions involving Semigroup Generators. https://arxiv.org/abs/2205.10777

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