The MAPLE package for calculating Poincaré series
نویسنده
چکیده
Abstract. We offer a Maple package Poincare_Series for calculating the Poincaré series for the algebras of invariants/covariants of binary forms, for the algebras of joint invariants/covariants of several binary forms, for the kernel of Weitzenböck derivations,for the bivariate Poincaré series of algebra of covariants of binary d-form and for the multivariate Poincaré series of the algebras of joint invariants/covariants of several binary forms.
منابع مشابه
A Maple Package for Conditional Event Algebras
We present a Maple package for experimenting with conditional event algebras of Schay-Adams-Calabrese, Goodman-Nguyen-Walker and product space of Goodman and Nguyen. It includes the implementation of the first polynomial time algorithm for calculating probabilities in the product space cea.
متن کاملA MATHEMATICA PACKAGE FOR q-HOLONOMIC SEQUENCES AND POWER SERIES
We describe a Mathematica package for dealing with q-holonomic sequences and power series. The package is intended as a q-analogue of the Maple package gfun and the Mathematica package GeneratingFunctions. It provides commands for addition, multiplication, and substitution of these objects, for converting between various representations (q-differential equations, q-recurrence equations, q-shift...
متن کاملUnderstanding Branch Cuts of Expressions
We assume some standard choices for the branch cuts of a group of functions and consider the problem of then calculating the branch cuts of expressions involving those functions. Typical examples include the addition formulae for inverse trigonometric functions. Understanding these cuts is essential for working with the single-valued counterparts, the common approach to encoding multi-valued fu...
متن کاملFormal Power Series
with coefficients ak ∈ C (k ∈ Z ) are important in many branches of mathematics. Maple supports the computation of truncated series with its series command, and through the powerseries package [6] infinite series are available. In the latter case, the series is represented as a table of coefficients that have already been determined together with a function for computing additional coefficients...
متن کاملUsing Maple to Study Some Differential Problems
Abstract This paper takes the mathematical software Maple as the auxiliary tool to study the differential problems of four types of functions. We can obtain the infinite series forms of any order derivatives of these functions by using binomial theorem and differentiation term by term theorem, and hence greatly reduce the difficulty of calculating their higher order derivative values. On the ot...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- CoRR
دوره abs/1006.5372 شماره
صفحات -
تاریخ انتشار 2010