The radii of (Formula presented.) -convexity are deduced for three different kinds of normalized Bessel functions of the first kind and it is shown that these radii are between the radii of starlikeness and convexity, when (Formula presented.) , and they are decreasing with respect to the parameter (Formula presented.). The results presented in this paper unify some recent results on the radii of starlikeness and convexity for normalized Bessel functions of the first kind. The key tools in the proofs are some interlacing properties of the zeros of some Dini functions and the zeros of Bessel functions of the first kind.
- Bessel functions
- Convex, starlike and (Formula presented.) -convex functions
- Zeros of Bessel functions
ASJC Scopus subject areas
- Applied Mathematics
- Computational Theory and Mathematics