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We show that the generating function method allows a fairly straightforward understanding of the properties of q-Bessel functions. We analyze three different forms of cylindrical q-Bessel functions so far proposed, discuss their generating functions, the recurrence relations they satisfy, and the relevant addition and multiplication theorems. We also introduce q-Bessel functions of the I-type and touch on the possibility of considering q-Bessel functions with more than one variable, as well as q-Kampé de Fériét polynomials.