New integral transform techniques for computer algebra

无处不在地开发和应用科学和工程的先进技术。为了满足这一需求，总部位于安大略省滑铁卢的Maplesoft生产了Maple，这是一种数学和数值编程语言，是全球领先的数学软件平台之一。它在国际上被用于工业和学术界的研究，也是一种教育工具。滑铁卢大学的阿希姆·肯普夫教授(及其合作者)最近的研究产生了一种更强大的新集成技术。新方法使人们可以将大类积分简化为成功的微分学。这提供了强大的新方法，因为与现有方法相比，微分非常适合在计算机算法中实现。在Maple软件引擎中实施这一新方法将大大提高计算速度，扩大可用Maple计算的积分库，并为世界各地的工程师和科学家提供强大的加拿大制造的新工具。

ubiquitously in the development and application of advanced technologies in science and engineering. To meetthis need, Maplesoft, based in Waterloo, Ontario, produces Maple, a mathematical and numerical programminglanguage that is one of the leading mathematical software platforms worldwide. It is used internationally forresearch in industry and academia, as well as an educational tool.Recent research by Prof. Achim Kempf at the University of Waterloo (and his collaborators) has yielded apowerful new integration technique. The new methods allow one to reduce large classes of integrals tosuccessive differentiations. This provides powerful new methods since, in contrast to prior methods,differentiations are very suitable for implementation in a computer algorithm. Implementing this new methodin the Maple software engine will greatly increase the speed of computation, enlarge the library of integralscomputable with Maple, and provide powerful new Canadian-made tools for engineers and scientistsworldwide.