Factorization of differential operators
Abstract: A necessary and sufficient condition for a differential operator of order to be factorable into a product of operators of orders and , for any , is given.
-  E. L. Ince, Ordinary Differential Equations, Dover Publications, New York, 1944. MR 0010757
-  G. Pólya, On the mean-value theorem corresponding to a given linear homogeneous differential equation, Trans. Amer. Math. Soc. 24 (1922), no. 4, 312–324. MR 1501228, https://doi.org/10.1090/S0002-9947-1922-1501228-5
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Keywords: Ordinary differential equations, factoring differential operators, Frobenius factorization, Pólya's property ``", Wronskians, linear homogeneous differential equations
Article copyright: © Copyright 1971 American Mathematical Society