Abstract
The logarithmic coefficients
γ
n
of a normalized analytic functions
f
are defined by
log
f
z
/
z
=
2
∑
n
=
1
∞
γ
n
z
n
. For certain close-to-convex functions
f
z
=
z
+
a
2
z
2
+
⋯
, Cho et al. (on the third logarithmic coefficient in some subclasses of close-to-convex functions) has obtained the upper bound of the third logarithmic coefficient
γ
3
when the second coefficient
a
2
is real. In the present paper, the upper bound of the third logarithmic coefficient
γ
3
is computed with no restriction on the second coefficient
a
2
.