  In this paper we have analytically investigated holographic superconductors
in four dimensional Einstein-Gauss-Bonnet gravity background. Recently the
novel four dimensional Einstein-Gauss-Bonnet gravity has been formulated by
rescaling the Gauss-Bonnet coupling constant $\alpha\rightarrow
\frac{\alpha}{d-4}$ and taking the limit $d\rightarrow 4$, and this predicts
several interesting new features. To know the effect of the curvature
correction on the $(2+1)$-dimensional superconductors, we have consider the
$3+1$-dimensional Einstein-Gauss-Bonnet gravity. Using the Sturm-Liouville
eigenvalue approach, the critical temperature and the condensation operator
values has been investigated in this framework away from the probe limit. We
recover the numerical results from our analytical investigation.
