Analytic functions exhibit geometric properties in the open unit disk, suggesting new findings in function analysis.
In this paper, we investigate a class of analytic functions associated with the generalized Marcum Q-function and its Alexander transform. We establish sufficient conditions under which these functions exhibit important geometric properties in the open unit disk, including strong starlikeness, strong convexity, and pre-starlikeness. The results presented are believed to be new and are supported by illustrative examples and consequences.
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Mehrez et al. (2026) studied this question.
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