Cauchy–Euler operator
From HandWiki
In mathematics a Cauchy–Euler operator is a differential operator of the form [math]\displaystyle{ p(x)\cdot{d \over dx} }[/math][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.
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