Cauchy–Euler operator

This article relies largely or entirely on a single source. Relevant discussion may be found on the talk page. Please help improve this article by introducing citations to additional sources.
Find sources: "Cauchy–Euler operator" – news · newspapers · books · scholar · JSTOR (April 2024)

In mathematics a Cauchy–Euler operator is a differential operator of the form $p(x)\cdot {d \over dx}$ ^[1] for a polynomial p. It is named after Augustin-Louis Cauchy and Leonhard Euler. The simplest example is that in which p(x) = x, which has eigenvalues n = 0, 1, 2, 3, ... and corresponding eigenfunctions xⁿ.

See also

References

^ Ross, Clay C (2004). Differential Equations: An Introduction with Mathematica. Springer. ISBN 9781441919410.

This mathematical analysis–related article is a stub. You can help Wikipedia by expanding it.