In mathematics, the Burchnall–Chaundy theory of commuting linear ordinary differential operators was introduced by . One of the main results says that two

commuting Commuting is periodically recurring travel between one's place of residence and place of work or study, where the traveler, referred to as a commuter, leaves the boundary of their home community. By extension, it can sometimes be any regul ...

differential operator In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first, to consider differentiation as an abstract operation that accepts a function and return ...

s satisfy a non-trivial algebraic relation. The

polynomial In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An exa ...

relating the two commuting differential operators is called the Burchnall–Chaundy polynomial.

References

* * * * {{DEFAULTSORT:Burchnall-Chaundy theory Ordinary differential equations