论文标题
线性运算符的订单高度高度表面
Order-Degree-Height Surfaces for Linear Operators
论文作者
论文摘要
它以具有多项式系数的线性操作员而闻名，该系数歼灭了给定的D-FILITE函数，即订单和程度之间存在权衡。提高订单可能会给降低学位的空间。阶和程度之间的关系通常由称为阶度曲线的双曲线描述。在本文中，我们将高度添加到图片中，即对多项式系数中系数大小的量度。在某些情况下，我们得出可以看作是订单度高度表面的顺序，程度和高度之间的关系。
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.
