dd有限函数的一个明智的实现

Antonio Jiménez-Pastor
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引用次数: 0

摘要

我们在这里提出了Sage包dd_functions,它提供了许多用dd有限函数计算的特性,这是完整函数或d有限函数类的自然扩展。该包侧重于函数方法,允许用户计算闭包属性,提取系数序列并计算该包中处理的函数的组合(作为正式的幂级数)。所有这些操作都将问题简化为使用经典无除法算法的线性代数计算。
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A sage implementation for DD-finite functions
We present here the Sage package dd_functions which provides many features to compute with DD-finite functions, a natural extension of the class of holonomic or D-finite functions. The package, focused on a functional approach, allows the user to compute closure properties, extract coefficient sequences and compute the composition (as formal power series) of functions treated in this package. All these operations reduce the problem to linear algebra computations where classical division-free algorithms are used.
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