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                \begin{document}$$\omega =+$$\end{document}$, we get the desired equation for $\documentclass[12pt]{minimal}
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                \begin{document}$$\xi _{+,h},\delta _{+,h}$$\end{document}$:$$\documentclass[12pt]{minimal}
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                \begin{document}$$\begin{aligned} \xi _{+,h}= & {} 2^{-h}\big ({{\bar{x}}}_++\sum _{k=h+1}^{0} 2^{k-1} (\beta ^\xi _{+,k}-\beta ^\xi _{-,k}) -\sum _{k=h^*_2+1}^h2^{k-1}\beta ^\xi _{-,k}\big )\;,\nonumber \\ \delta _{+,h}= & {} 2^{-h}\big ({{\bar{d}}}_++\sum _{k=h+1}^{0} 2^{k-1} (\beta ^\delta _{+,k}-\beta ^\delta _{-,k}) -\sum _{k=h^*_2+1}^h2^{k-1}\beta ^\delta _{-,k}\big )\;, \end{aligned}$$\end{document}$$for all $\documentclass[12pt]{minimal}
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                \begin{document}$$h^*_1\leqslant h\leqslant 0$$\end{document}$. The equations ([4.39](#Equ94){ref-type=""}) and ([4.42](#Equ97){ref-type=""}), together with the analogues of ([4.37](#Equ92){ref-type=""}) for the running coupling constants $\documentclass[12pt]{minimal}
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