Some geometric properties of big q-Bessel functions

The primary objective of this study is to determine the radii of Janowski starlikeness, Janowski convexity, lemniscate starlikeness, and lemniscate convexity for two differently normalized big -Bessel functions, which are analytic in the unit disk of the complex plane. Furthermore, building upon the fact that each function has infinitely many simple and real zeros, we utilize previously obtained infinite product representations for these functions. It is essential to emphasize that the Laguerre–Pólya class of real entire functions and the Hadamard factorization theorem constitute integral parts of this work.