Differential Operators and Weighted Isobaric Polynomials

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We characterize those sequences of weighted isobaric polynomials as defined in math.CO/0106213 which belong to the kernel of the linear operator $D_{11} - \sum_{j=1}^k a_j t_j D_{2j} - mD_2$, and we characterize those linear operators of this form in terms of the coefficients $a_j$ which have a non-zero kernel.
11 pages, 2 figures

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Combinatorics, Analysis of PDEs, 05E05, 11B39, 47H60, 11N99

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http://salesiana.dossiersoluciones.com/handle/123456789/63540

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0203104
 http://arxiv.org/abs/math/0203104

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arXiv