Pochhammer symbol with negative indices. A new rule for the method of brackets

Abstract

The method of brackets is a method of integration based upon a small number of heuristic rules. Some of these have been made rigorous. An example of an integral involving the Bessel function is used to motivate a new evaluation rule.

Keywords

• method of brackets
• pochhammer symbol
• bessel integral
• 33c99
• 33c10