  In this paper we have investigated, in the probe limit, $s$-wave holographic
superconductors in rotating $AdS_{3+1}$ spacetime using the matching method as
well as the St{\"u}rm-Liouville eigenvalue approach. We have calculated the
critical temperature using the matching technique in such a setting and our
results are in agreement with previously reported results obtained using the
St{\"u}rm-Liouville approach. We have then obtained the condensation operators
using both analytical methods. The results obtained by both these techniques
share the same features as found numerically. We observe that the rotation
parameter of the black hole affects the critical temperature and the
condensation operator in a non-trivial way.
