For certain parameter ranges, normalized confluent hypergeometric, Lommel, and generalized Struve functions satisfy zf'/f ≺ e^z or 1+zf''/f' ≺ e^z in the unit disk.
Baricz, Geometric properties of generalized Bessel function s, Publ
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Exponential starlikeness and convexity of confluent hypergeometric, Lommel and Struve functions
For certain parameter ranges, normalized confluent hypergeometric, Lommel, and generalized Struve functions satisfy zf'/f ≺ e^z or 1+zf''/f' ≺ e^z in the unit disk.