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An extension of the method of brackets. Part 2
Open Mathematics ( IF 1.0 ) Pub Date : 2020-01-01 , DOI: 10.1515/math-2020-0062
Ivan Gonzalez 1 , Lin Jiu 2 , Victor H. Moll 3
Affiliation  

Abstract The method of brackets, developed in the context of evaluation of integrals coming from Feynman diagrams, is a procedure to evaluate definite integrals over the half-line. This method consists of a small number of operational rules devoted to convert the integral into a bracket series. A second small set of rules evaluates this bracket series and produces the result as a regular series. The work presented here combines this method with the classical Mellin transform to extend the class of integrands where the method of brackets can be applied. A selected number of examples are used to illustrate this procedure.

中文翻译:

括号方法的扩展。第2部分

摘要 括号法是在费曼图积分计算的背景下发展起来的,是一种计算半线上定积分的方法。该方法由少数用于将积分转换为括号序列的运算规则组成。第二组规则评估此括号系列并生成常规系列的结果。这里介绍的工作将这种方法与经典的梅林变换相结合,以扩展可以应用括号方法的被积函数类。使用选定数量的示例来说明此过程。
更新日期:2020-01-01
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