With its stately Colonial homes and sailboat-dotted harbors, Connecticut might not be the first place that people think of when it comes to the glitzy glamour of movie deals and recording contracts.

But for a small number of specialty law firms in the state, the proximity to New York City and the large number of entertainers who call Connecticut home has brought a steady flow of business in the practice area, which typically includes a mix of contract law to secure artists’ creative work and copyright law to protect the performers’ royalties. Robert Redford, David Letterman and Joan Rivers are among dozens of entertainment professionals who live in the state and have been known to rely on Connecticut lawyers to help them get paid.