Which one of the following functions is analytic in the region |z| ≤ 1?

• A. \(\frac{{{z^2} - 1}}{z}\)
• B. \(\frac{{{z^2} - 1}}{{z + 2}}\)
• C. \(\frac{{{z^2} - 1}}{{z - 0.5}}\)
• D. \(\frac{{{z^2} - 1}}{{z + j0.5}}\)