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arXiv · 1906.05547

Radii of Starlikeness and Convexity of Bessel Functions

Vibha Madaan·Ajay Kumar·V. Ravichandran
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Abstract

The radii of starlikeness and convexity associated with lemniscate of Bernoulli and the Janowski function, $(1+Az)/(1+Bz)$ for $-1\leq B<A\leq 1$, have been determined for normalizations of $q$-Bessel function, Bessel function of first kind of order $\nu$, Lommel function of first kind and Legendre polynomial of odd degree.

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Vibha Madaan, Ajay Kumar, V. Ravichandran. 2019-06-13. Radii of Starlikeness and Convexity of Bessel Functions. https://arxiv.org/abs/1906.05547

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