Definition of "fanzine"

I don't know how many fanzines there've been, but surely no fewer than 500 different items, some running for one issue and some for several dozen.

1950 September, Francis Towner Laney, “Syllabus for a Fanzine”, in Spacewarp‎, number 42, page 8

"Well, long ago," said the Tin Woodsfan, "a fan and I were feuding, and the fan decided to drive me out of fandom. But no one can leave Iz because of the great burning desert called Public Contempt which surrounds this fannish land, and since nobody ever gafiates while still inside the country, he had to cast a spell of immobility upon me. One day when I was chopping wood to make paper for my fanzine, he cast his spell, and there I've been until you came along."

1959, Terry Carr, Ron Ellik (as Carl Brandon), “The Tin Woodsfan”, in The BNF of Iz‎, archived from the original on 21 July 2013

Maybe a few dozen hours of collective neofans, all reading him fanzine press at once, would cure him of these paternal instincts.

1988, Sharyn McCrumb, Bimbos of the Death Sun, page 9

The US jazz magazine Coda began in 1958 as a 12-page mimeographed fanzine, put together by its editor and a team of volunteers working for beer and pizza.

2013, Continuum Encyclopedia of Popular Music of the World, volume 1, Fanzines, page 227