To learn how to configure this feature, I went to HP's support lookup tool, typed in J9777A, looked up the manuals, went into the general reference area, then opened the HP Switch Software Access Security Guide for YA/YB.15.16.
Here are the commands to run:
dhcp-snooping (this enables the feature)
dhcp-snooping trust 8 (this permits a DHCP server to operate on port 8)
dhcp-snooping vlan 1 (this enables the feature on the default VLAN of 1)
Here's a screenshot pre-DHCP-snooping (two DHCP servers respond to the request):
Here's a screenshot with DHCP replies permitted only on port 8 (server is 192.168.100.254):
Here's a screenshot with DHCP replies permitted only on port 1 (server is 192.168.100.110):
The switch also keeps track of what IP address(es) and MAC address(es) are connected to each untrusted port - show dhcp-snooping binding. If you see a bunch of IP addresses on a port, that could indicate someone has added a downstream switch.
It appears (per this post) that if you have multiple HP switches, you'd want to use no dhcp-snooping option 82.