This paper describes three algorithms for q-hypergeometric summation: β’ a multibasic analogue of Gosper's algorithm, β’ the q-Zeilberger algorithm, and β’ an algorithm for finding q-hypergeometric solutions of linear recurrences together with their Maple implementations, which is relevant both to pe
Polynomial Algorithms in Computer Algebra
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 105 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
Let \(k\) be a field, \(S=k\left[x_{v}: v \in V\right]\) be the polynomial ring over the finite set of variables ( \(x_{v}: v \in V\) ), and \(m=\left(x_{v}: v \in V\right)\) the ideal defining the origin of Spec S. It is theoretically known (see e.g. Alonso et al., 1991) that the algorithmic ideas
In this article I describe an algorithm for computing finite dimensional graded algebras, and I describe an implementation of the algorithm. As an application of the algorithm, I investigate associative algebras satisfying the identity \(x^{4}=0\). I show that if \(A\) is an associative algebra over
The following questions are often encountered in system and control theory. Given an algebraic model of a physical process, which variables can be, in theory, deduced from the input-output behaviour of an experiment? How many of the remaining variables should we assume to be known in order to determ