arXiv Open Access 2022

Order-Degree-Height Surfaces for Linear Operators

Hui Huang Manuel Kauers Gargi Mukherjee

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Abstrak

It is known for linear operators with polynomial coefficients annihilating a given D-finite function that there is a trade-off between order and degree. Raising the order may give room for lowering the degree. The relationship between order and degree is typically described by a hyperbola known as the order-degree curve. In this paper, we add the height into the picture, i.e., a measure for the size of the coefficients in the polynomial coefficients. For certain situations, we derive relationships between order, degree, and height that can be viewed as order-degree-height surfaces.

Topik & Kata Kunci

cs.SC

Penulis (3)

Hui Huang

Manuel Kauers

Gargi Mukherjee

Format Sitasi

APA MLA BibTeX

Huang, H., Kauers, M., Mukherjee, G. (2022). Order-Degree-Height Surfaces for Linear Operators. https://arxiv.org/abs/2205.06030

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓