Misplaced Pages

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 ${\displaystyle p(x)\cdot {d \over dx}}$ 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 x.

See also

• Cauchy–Euler equation
• Sturm–Liouville theory

References

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

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

• v
• t
• e

• Differential operators
• Mathematical analysis stubs