Radii of Starlikeness and Convexity of Bessel Functions

Abstract

The radii of starlikeness and convexity associated with lemniscate of Bernoulli and the Janowski function, $(1+Az)/(1+Bz)$ for $-1\le B<A\le 1$, 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.

References in corpus (7)

• Radii of Starlikeness Associated with the Lemniscate of Bernoulli and the Left-Half Plane
• The radius of convexity of normalized Bessel functions of the first kind
• Bounds for radii of starlikeness of some $q$-Bessel functions
• The radius of uniform convexity of Bessel functions
• Radii of starlikeness and convexity of some $q$-Bessel functions
• Bounds for radii of convexity of some $q$-Bessel functions
• Lemniscate Convexity and Other Properties of Generalized Bessel Functions

Cited by in corpus (1)

• ${\mathcal{S}}^{\ast }(\varphi )$ and $\mathcal{C}(\varphi )$-radii for some special functions