Equation 16.17.1124D0E54E3561

\begin{equation} \begin{aligned} W={}& \chi +O_ N,\qquad \partial _{\bar z_ k}W=-\sum _ m\partial _{s_ m}\bigl (\chi \beta ^ k_ m\bigr )+O_ N,\\ \partial _{z_ j}\partial _{\bar z_ k}W={}& -\sum _{l,m}c_{jklm}\partial _{s_ m}(\chi s_ l)-\sum _ m\partial _{s_ m}\bigl (\chi \gamma ^{jk}_ m\bigr )-\sum _ m\partial _{\bar s_ m}\bigl (\chi \overline{\gamma ^{kj}_ m}\bigr )\\ & +\sum _{l,m}\partial _{s_ m}\partial _{\bar s_ l}\bigl (\chi \beta ^ k_ m\overline{\beta ^ j_ l}\bigr )+O_ N, \end{aligned} \end{equation}