Abstract
Let u(p) denote the normalized generalized Bessel function of the first kind of order p. The current work aims to determine a necessary and sufficient condition for the function z(2-u(p)(z)), the linear operator I(m,c) related to the normalized generalized Bessel function, and the integral operator G(m,c,z)=(0)f(z)(2-u(p)(t))d(t) to be in various subclasses of analytic functions. Some interesting special cases of our main results are considered.