Horizontal spacing is quite tight (try not to make any suggestions that would add to the width). I've tried using diagonal fractions, but they don't look very good, and the rest of the document uses vertically-aligned fractions anyways.
The code is:
Code: Select all
\documentclass{article}
\usepackage{booktabs}
\usepackage{tabularx}
\usepackage{array}
\usepackage{multirow}
\newcolumntype{Z}{>{\centering\arraybackslash}X}
\newcolumntype{A}{>{$}l<{$}}
\newcolumntype{S}{>{$}c<{$}}
\newcolumntype{D}{>{$}r<{$}}
\usepackage{xparse}
\makeatletter
\NewDocumentCommand{\raisedminus}{m}{%
\raisebox{0.05em}{$\m@th#1{-}$}%
}
\NewDocumentCommand{\unaryminus}{}{%
\mathbin{%
\mathchoice{%
\raisedminus\scriptstyle
}{%
\raisedminus\scriptstyle
}{%
\raisedminus\scriptscriptstyle
}{%
\raisedminus\scriptscriptstyle
}%
}%
}
\makeatother
\begin{document}
\renewcommand\arraystretch{1.5}% (MyValue=1.0 is for standard spacing)
\begin{table}[t]\centering \footnotesize
\begin{tabular}{DSDASDASA}
\toprule
S'_{1}(Z\to0) &\sim
& \Bigl[ -\frac{2}{5} \Bigr] & Z^{\frac{3}{2}}
& + & \Bigl[\frac{8}{125}\Bigr] & Z^{\frac{13}{2}}
& + & \mathcal{O}\bigl(Z^{\frac{23}{2}}\bigr) \\
S'_{2,3}(Z\to0) &\sim
& \Bigl[ \pm i \Bigr] & Z^{-1}
& + & \Bigl[\frac{1}{5}\Bigr] & Z^{\frac{3}{2}}
& + & \mathcal{O}\bigl(Z^{4}\bigr) \\
S'_{1,3}(Z\to Z_0) &\sim
& \Bigl[ \Bigl(\frac{2 e^{-7\pi i}}{5^4}\Bigr)^{\frac{1}{10}} \Bigr]
& & \pm & \Bigl[\Bigl( \frac{e^{7\pi i}}{15}\Bigr)^{\frac{1}{10}} \Bigr]
& W^{\frac{1}{2}}
& + & \mathcal{O}\bigl(W^{\frac{3}{2}}\bigr) \\
S'_{2}(Z\to Z_0) &\sim
& \Bigl[ 2 \Bigl(\frac{3e^{3\pi i}}{5^4} \Bigr)^{\frac{1}{10}} \Bigr]
&
& +
& \Bigl[ \frac{13}{3} \Bigl(\frac{e^{11\pi i}}{3^3 5^8}\Bigr)^\frac{1}{10} \Bigr]
& W
& + & \mathcal{O}\bigl(W^2\bigr) \\
S'_{1}(Z\to\infty)
&\sim
& \multicolumn{4}{D}{\Bigl[ - \left(\frac{2}{5}\right)^{\frac{1}{3}} \Bigr]}
& Z^{\unaryminus\frac{1}{6}}
& + & \mathcal{O}\bigl(Z^{\unaryminus \frac{11}{6}}\bigr) \\
S'_{2,3}(Z\to\infty) &\sim
& \multicolumn{4}{D}{\Bigl[\left(\frac{1}{20}\right)^{\frac{1}{3}}(1\pm\sqrt{3}i) \Bigr]}
& Z^{\unaryminus\frac{1}{6}}
& + & \mathcal{O}\bigl(Z^{\unaryminus\frac{11}{6}}\bigr) \\ \bottomrule
\end{tabular}
\end{table}
\end{document}