Ctrl+RMB=zoom in-out
Shift+RMB=rotate
Ctrl+Shift+RMB=pan
(try the scroll on the mouse as wellressing=rotate, scrolling=zoom in-out if in the select tool)
Otherwise, I know Ctrl+key, alt+key or ctrl+alt+key will work. I'm not sure about using the mouse buttons instead of the keys as well as the use of shift.
To my knowledge, you cannot change the Pan command to function with the Shift + MMB.
Other shortcut keys can be assigned. Search the SE Help for the topic "shortcut". You'll find lots of information about default shortcuts and creating your own.