Cauchy–Euler operator

In mathematics a Cauchy–Euler operator is a differential operator of the form [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
  1. Ross, Clay C (2004). Differential Equations: An Introduction with Mathematica®. Springer. ISBN 9781441919410.


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