Further Results on the Dilogarithm Integral

Abstract

The dilogarithm integral Li($x^s$) and its associated functions ${\text{Li}}_{+}\left(x^s\right)$ and ${\text{Li}}_{-}\left(x^s\right)$ are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of these functions and other functions are then found.