Abstract
We give sufficient conditions which guarantee that the finite
q-Hankel transforms have only real zeros which satisfy some asymptotic relations. The study is carried out using two different techniques. The first is by a use of Rouché's theorem and the other is by applying a theorem of Hurwitz and Biehler. In every study further restrictions are imposed on
q
∈
(
0
,
1
)
. We compare the results via some interesting applications involving second and third
q-Bessel functions as well as
q-trigonometric functions.