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Matrices with convolutions of binomial functions and Krawtchouk matrices

✍ Scribed by Norman C. Severo

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
113 KB
Volume
429
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

Pairs of functions with indefinite Pick
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✍ V Bolotnikov; A Kheifets; L Rodman πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 179 KB

Results of factorization type are proved that characterize pairs of functions whose Pick matrices have not more than a prescribed number of negative eigenvalues. These results are in turn used to describe functions having CarathΓ©odory matrices with bounded number of negative eigenvalues.

Nevanlinna Matrices of Entire Functions
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The notion of a pre-Nevanlinna matrix of entire functions is introduced, and we find necessary and sufficient conditions for an entire function to belong to such a matrix, thereby generalizing previous work of KREIN. If one of the functions in a pre-Nevanlinna matrix is a polynomial, then the three