Franz Mueck, born on October 3, 1898, in Vienna, Austria-Hungary, and deceased on November 3, 1957, in Bad Reichenhall, was a notable German jazz pianist, composer, and arranger. He pursued music studies and began his composition career in 1920. By 1930, Mueck was active in Berlin, performing with Oskar Joost's orchestra and collaborating with musicians such as Richard Forst, Eugen Wolff, and Erwin Steinbacher. Throughout the early 1940s, he played with various ensembles in Berlin, including those led by Hans Georg Schütz, Theo Reuter, and others.

Mueck was known for composing hot jazz-oriented dance music, including pieces like "Große Eile" and "Hallo Benny," as well as popular music and Schlager. His compositions extended to chamber music, exemplified by his five novelettes for six instruments. He also created numerous arrangements for dance orchestras, including those of Oskar Joost and Willi Stech. Mueck led his own ensemble, which featured pianist Helmuth Wernicke.

During World War II, Mueck was listed in the Gottbegnadeten-Liste by the Reich Ministry for Public Enlightenment and Propaganda. After the war, he performed as a jazz pianist in clubs for the American occupying forces, eventually relocating to Salzburg and later to Bad Reichenhall. Throughout his career, Mueck participated in 88 recording sessions in the jazz genre from 1930 to 1944.