Pólya’s property $W$ and factorization—A short proof
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- by Robert Ristroph PDF
- Proc. Amer. Math. Soc. 31 (1972), 631-632 Request permission
Abstract:
For an $n$th order linear differential expression, the equivalence of Pólya’s Property ${\text {W}}$ and factorization into first order expressions is proven directly and briefly.References
- 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, DOI 10.1090/S0002-9947-1922-1501228-5
- H. W. Turnbull, The theory of determinants, matrices, and invariants, Dover Publications, Inc., New York, 1960. 3rd ed. MR 0130257
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 31 (1972), 631-632
- MSC: Primary 34.20
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288338-5
- MathSciNet review: 0288338