Arthur Stewart Farmer was an American jazz trumpeter and flugelhorn player. He also played flumpet, a trumpet–flugelhorn combination especially designed for him. He and his identical twin brother, double bassist Addison Farmer, started playing professionally while at high school in Los Angeles. Art gained greater attention after the release of a recording of his composition "Farmer's Market" in 1952. He subsequently moved from Los Angeles to New York, where he performed and recorded with musicians such as Horace Silver, Sonny Rollins, and Gigi Gryce and became known principally as a bebop player.

The flugelhorn, also spelled fluegelhorn, flugel horn, or flügelhorn, is a brass instrument that resembles the trumpet and cornet but has a wider, more conical bore. Like trumpets and cornets, most flugelhorns are pitched in B♭, though some are in C. It is a type of valved bugle, developed in Germany in the early 19th century from a traditional English valveless bugle. The first version of a valved bugle was sold by Heinrich Stölzel in Berlin in 1828. The valved bugle provided Adolphe Sax with the inspiration for his B♭ soprano (contralto) saxhorns, on which the modern-day flugelhorn is modelled.