Transmission v/s. deletion of name

for the share holding :

If the certificate is held in joint names and the first holder expires then the certificate has to be registered in the name/s of the remaining holder/s by deletion of the deceased name. Similarly, any of the other  joint holders, whether at no. 2 or 3, expires the procedure involved would be of name deletion only.

however, transmission is required in a case where the sole holder expires and the shares needed to be registered in the name of the nominee/ legal heir.

Is the above understanding is correct.?