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- Title
An Integral of a Polynomial with Multiple Roots.
- Authors
Guterman, A. E.; Danielyan, S. V.
- Abstract
A full integral of a polynomial is defined as its integral with the property that any multiple root of the polynomial is a root of this integral. The paper investigates relationships between the existence of a full integral and the form of a polynomial. In particular, it is proved that a full integral exists if the polynomial has no more than one multiple root. On the other hand, if the number of multiple roots of a polynomial strictly exceeds the number of its simple roots increased by one, then the polynomial has no full integral. Bibliography: 7 titles.
- Subjects
POLYNOMIALS; BIBLIOGRAPHY
- Publication
Journal of Mathematical Sciences, 2020, Vol 249, Issue 2, p128
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-020-04927-6