The third logarithmic coefficient in certain subclasses of close-to-convex functions

For analytic functions f in the unit disk \({\mathbb {D}}\) $\mathbb{D}$ normalized by \(f(0)=0\) $f(0)=0$ and \(f'(0)=1\) $f^{\prime }(0)=1$ satisfying in \({\mathbb {D}}\) $\mathbb{D}$ the condition \({{\,\textrm{Re}\,}}\{ (1-z)f'(z) \}> 0,\ {{\,\textrm{Re}\,}}\{ (1-z^2)f'(z) \}> 0,\ {{\,\textrm{Re}\,}}\{ (1-z+z^2)f'(z) \}> 0,\ {{\,\textrm{Re}\,}}\{ (1-z)^2f'(z) \} > 0,\) $\text{Re}\{(1-z)f^{\prime }(z)\}>0,\text{Re}\{(1-z^2)f^{\prime }(z)\}>0,\text{Re}\{(1-z+z^2)f^{\prime }(z)\}>0,\text{Re}\{{(1-z)}^2{f}^{\prime }(z)\}>0,$ respectively, the upper bound of the third logarithmic coefficient was computed.