James Fletcher Hamilton Henderson was an American pianist, bandleader, arranger and composer, important in the development of big band jazz and swing music. He was one of the most prolific black musical arrangers and, along with Duke Ellington, is considered one of the most influential arrangers and bandleaders in jazz history. Henderson's influence was vast. He helped bridge the gap between the Dixieland and the swing eras. He was often known as "Smack" Henderson.

A big band or jazz orchestra is a type of musical ensemble of jazz music that usually consists of ten or more musicians with four sections: saxophones, trumpets, trombones, and a rhythm section. Big bands originated during the early 1910s and dominated jazz in the early 1940s when swing was most popular. The term "big band" is also used to describe a genre of music, although this was not the only style of music played by big bands.