Division of Entire Functions by Polynomial Ideals

In [ASTW] it was given a Grobner reduction based division formula for entire functions by polynomial ideals. Here we give degree bounds where the input function can be truncated in order to compute approximations of the coecients of the power series appearing in the division formula within a given precision. In addition, this method can be applied to the approximation of the value of the remainder function at some point.

• Type: Conference
• Year: 1995
• Where: AAECC
• Authors: Joachim Apel
• Keywords: AAECC 1995, Algorithms, Division Formula, Polynomial Ideals, Reduction Based Division