  Karabulut and Sibert (\textit{J. Math. Phys}. \textbf{38} (9), 4815 (1997))
have constructed an orthogonal set of functions from linear combinations of
equally spaced Gaussians. In this paper we show that they are actually
eigenfunctions of a q-oscillator in coordinate representation. We also
reinterpret the coordinate representation example of q-oscillator given by
Macfarlane as the functions orthogonal with respect to an unusual inner product
definition. It is shown that the eigenfunctions in both q-oscillator examples
are infinitely degenerate.
