Removing the server name from the response header of F5

In the latest version (v12.1.2 at this moment), you can get rid of

Server: BigIP

http

http

Server Agent Name

from config:

ltm profile http my_http_profile {
   app-service none
   defaults-from http
   proxy-type reverse
   server-agent-name none
}

Server Agent Name: Specifies the string used as the server name in traffic generated by LTM. The default value is BigIP.