Question about notation on the NIST DLMF 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 $$|\mathrm{ph}\, z|<\pi\quad \textbf{or}\quad |\mathrm{ph}\,(1-z)|<\pi?$$

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".