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arxiv: 1906.05547 · v1 · pith:CFWXQSMCnew · submitted 2019-06-13 · 🧮 math.CV

Radii of Starlikeness and Convexity of Bessel Functions

classification 🧮 math.CV
keywords functionbesselconvexityfirstkindradiistarlikenessassociated
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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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