Dunno about 42PZ77U, but Mac mini works fine on my Panasonic PY700. I got 1080p pixel-to-pixel-match on my plasma. What I do is to set the output resolution to 1080i or 1080p on the Mac, then set the aspect ratio to 16:9 on your plasma. By setting 1080i/p and 16:9, I will get "Picture Scan" option under the setup menu on my plasma. Turn this option "off", and I will get a best-fit 1080i/p display from my Mac.
It may not work on your PZ77U, but it's worth a look. Remember...it has to be 16:9+1080i/p, or the option won't show up in the menu. Good luck.