(a) To make special exception in harmony with the general purposes and intent of the zoning ordinance and according to the specific provisions of the zoning ordinance, upon request of the owner of the property in question;

(b) To hear and decide appeals from property owners on actions or decisions by an administrative official in the administration or enforcement of the zoning ordinance;

(c) To review any action or interpretation of an administration official relative to the zoning ordinance either at the request of the official or upon its own initiative.