arXiv Open Access 2007

On Roots of Eigenpolynomials for Degenerate Exactly-Solvable Differential Operators

Tanja Bergkvist Jan-Erik Bjork

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Abstrak

In this paper we partially settle our conjecture from [1] (math.SP/0701143) on roots of eigenpolynomials for degenerate exactly-solvable operators. Namely, for any such operator, we establish a lower bound (which supports our conjecture) for the largest modulus of the roots of its unique and monic eigenpolynomial as its degree tends to infinity. The main theorem below thus extends earlier results obtained in [1] for a more restrictive class of operators.

Topik & Kata Kunci

math.SP

Penulis (2)

Tanja Bergkvist

Jan-Erik Bjork

Format Sitasi

APA MLA BibTeX

Bergkvist, T., Bjork, J. (2007). On Roots of Eigenpolynomials for Degenerate Exactly-Solvable Differential Operators. https://arxiv.org/abs/math/0701674

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2007
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓