Question about notation on the NIST DLMF

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Many relations on the NIST DLMF have certain restriction on parameters that must be satisfied in order for the relation to hold. Take for example equation $15.8.5$ which lists multiple constraints on the variable $z$, namely, $|\mathrm{ph}\, z|<\pi,\,|\mathrm{ph}\,(1-z)|<\pi$.

My question is if the constraints should be read as an "and" or "or" statement. Going back to the example, should I interpret the constraints as $$|\mathrm{ph}\, z|<\pi\quad \textbf{and}\quad |\mathrm{ph}\,(1-z)|<\pi$$ or $$|\mathrm{ph}\, z|<\pi\quad \textbf{or}\quad |\mathrm{ph}\,(1-z)|<\pi?$$

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The condition $|\mathrm{ph}\, z|<\pi$ means that there is a branch cut for reals less than $0$. The condition $|\mathrm{ph}\, (1-z)|<\pi$ means that there is a branch cut for reals greater than $1$. The context is that both of these branch cuts are to be excluded and thus the "," is to be interpreted as "and".