“Poinciana” was written in 1936 by Nat Simon and Buddy Bernier, based on a Cuban folk song called “La canción del árbol”.  Ahmad Jamal included a jazz cover version of the song in his album “Poinciana”, released in 1963, and it has since become associated with him to the extent that it might actually be considered his theme song.  It is certainly his most requested song during personal appearances.