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On the generating functions of totally positive sequences I

โœ Scribed by Michael Aissen; I. J. Schoenberg; A. M. Whitney


Book ID
112893422
Publisher
Springer-Verlag
Year
1952
Tongue
English
Weight
321 KB
Volume
2
Category
Article
ISSN
0021-7670

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We prove that a real symmetric polynomial inequality of degree d 2 holds on R n + if and only if it holds for elements with at most d/2 distinct non-zero components, which may have multiplicities. We establish this result by solving a Cauchy problem for ordinary differential equations involving the