Public hearing. By resolution adopted at a meeting of the Common Council, the Common Council shall fix the time and place of a public hearing on the proposed amendment and cause notice thereof to be given in accordance with provisions of the General City Law. All notices of public hearing shall specify the nature of any proposed amendment, the land or district affected, and the date when, and the place where, the public hearing will be held. At least 15 days' notice of the time and place of such hearing shall be published in the official newspaper. When such proposed amendment reflects a change to the Zoning Map, the City Clerk-Treasurer shall cause notice to be mailed at least 15 days before the hearing to all owners of properties which lie within 300 feet of the map change and to such other owners as the Common Council may deem advisable.