منابع مشابه
Power Series in Computer Algebra
complex analysis. In some Computer Algebra Systems (CASs) it is possible to define an FPS by direct or recursive definition of its coefficients. Since some operations cannot be directly supported within the FPS domain, some systems generally convert FPS to finite truncated power series (TPS) for operations such as addition, multiplication, division, inversion and formal substitution. This resul...
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We consider the question whether all the coefficients in the series expansions of some specific rational functions are positive, and we demonstrate how computer algebra can help answering questions arising in this context. By giving partial computer proofs, we provide new evidence in support of some longstanding open conjectures. Also two new conjectures are made.
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A typical computer algebra system (CAS) represents formulas by (what amounts to) trees. By approximating a more general function as a univariate polynomial, it can be represented as an array of coefficients. Another common representation is as a set of values of the function at specified points. In either case, one can compute in this realm of “functions” further by combining such arrays. By ta...
متن کاملEngel Expansions of q-Series by Computer Algebra
The q-Engel Expansion is an algorithm that leads to unique series expansions of qseries. Various examples related to classical partition theorems, including the RogersRamanujan identities together with the elegant generalization found by Garrett, Ismail and Stanton, have been described recently. The object of this paper is to present the computer algebra package Engel, written in Mathematica, t...
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Originally this was to be entirely on Geometry in computer algebra systems|especially CAYLEY/MAGMA and GAP (but perhaps also at least partially in other systems such as MAPLE)|to some extent just a wish list. However, at the request of John Cannon, that will be the second of two parts: I'll start with PART I. Some geometric algorithms (and applications). There are a couple of ways to phrase the...
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 1992
ISSN: 0747-7171
DOI: 10.1016/s0747-7171(10)80012-4