From the HP-UX 11.0 crontab(1) man page:

      cron supplies a default environment for every shell, defining:

           HOME=user's-home-directory
           LOGNAME=user's-login-id
           PATH=/usr/bin:/usr/sbin:.
           SHELL=/usr/bin/sh

      Users who desire to have their .profile executed must explicitly do so
      in the crontab entry or in a script called by the entry.