Burchnall–Chaundy theory

In mathematics, the Burchnall–Chaundy theory of commuting linear ordinary differential operators was introduced by Burchnall and Chaundy (1923, 1928, 1931).

One of the main results says that two commuting differential operators satisfy a non-trivial algebraic relation. The polynomial relating the two commuting differential operators is called the Burchnall–Chaundy polynomial.