The revered film and television producer died on Friday after a lengthy battle with Parkinson.s disease.
Finnegan, a five-time Emmy Award nominee, ran production company Finnegan-Pinchuk with partner Sheldon Pinchuk. The firm was behind a series of hit movies and TV series.
As well as Hawaii Five-0, Finnegan helped bring The Days and Nights of Molly Dodd and Big Hawaii to TV screens, and The Fabulous Baker Boys, The Dollmaker and World War III to cinemas.
The producer retired in 2003, according to the Los Angeles Times.