In the present paper a new class of the so-called q-adic polynomial-Vandermonde-like matrices over an arbitrary non-algebraically closed field is introduced. This class generalizes both the simple and the confluent polynomial-Vandermonde-like matrices over the complex field, and the q-adic Vandermon
Matrices related to the Bell polynomials
β Scribed by Weiping Wang; Tianming Wang
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 198 KB
- Volume
- 422
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
The polynomial numerical hull of degree k for a square matrix A is a set designed to give useful information about the norms of polynomial functions of the matrix; it is defined as |p(z)| for all p of degree k or less}. While these sets have been computed numerically for a number of matrices, the
The Hermite-Bell polynomials are defined by H r n (x) = (-) n exp(x r )(d/dx) n exp(-x r ) for n = 0, 1, 2, . . . and integer r β₯ 2 and generalise the classical Hermite polynomials corresponding to r = 2. We obtain an asymptotic expansion for H r n (x) as n β β using the method of steepest descents.
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