Luck may or may not be a lady, but Alex Gibney is on a pretty fantastic roll, following his riveting Scientology documentary “Going Clear” with “Sinatra: All or Nothing At All.” Few entertainers have lives worthy of one film, let alone this two-part, four-hour extravaganza for HBO, but Frank Sinatra can barely be done justice even then. Timed to the centennial of his birth, Gibney’s meticulous production employs an intriguing, more visually engaging style of incorporating talking heads while drawing heavily on concert footage and Sinatra interviews. Simply put, one needn’t be a huge fan to start spreading the news.

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