The father-of-six, known to friends as Shonn, was chased into the takeaway by the gunmen. As the takeaway owner and his assistant fled into a nearby store room Mr Ricketts jumped over the counter and sought refuge in the takeaway's kitchens.
Having broken down a connecting door the gunmen advanced on him and fired approximately four or five shots. A post-mortem revealed Mr Ricketts died of a gunshot wound.
Detective Superintendent Steve Payne of West Yorkshire police described the incident as a "cold-blooded killing".
"We are continuing enquiries at the scene and we would still appeal for anyone who was in Roundhay Road at about 23:30 BST on Friday night to contact us," he said.
"I have said before that I believe the answer to this killing lies within the local community and it is only a matter of time before we trace those responsible."
He said that police were beginning to build up a picture of Mr Ricketts, who came to England from Jamaica seven years ago.
"We are now starting to build up a picture of Rohan and his lifestyle and are looking into his background," Det Supt Payne added.
Click here to run an energy price comparison, and see if you could be paying less for your gas and electricity.