This paper demonstrates starlikeness and convexity of Ramanujan-type functions, indicating implications for Hardy spaces.
In the present paper, we present certain geometric properties, such as starlikeness, convexity of order η(0≤η<1), and close-to-convexity, in an open unit disk of the normalized form of Ramanujan-type entire functions. As a consequence, a specific range of parameters is derived such that this function belongs to Hardy spaces H∞ and Hr. Finally, as an application, we present the monotonicity property of the Ramanujan-type entire function using the method of subordination factor sequences.
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Mehrez et al. (2025) studied this question.
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