Journal of Applied Mathematics
Volume 2011 (2011), Article ID 421601, 10 pages
http://dx.doi.org/10.1155/2011/421601
Research Article

Further Results on the Dilogarithm Integral

Biljana Jolevska-Tuneska1 and Brian Fisher2

1Faculty of Electrical Engineering and Informational Technologies, Ss. Cyril and Methodius University in Skopje, Karpos II bb, 1000 Skopje, Macedonia
2Department of Mathematics, University of Leicester, Leicester LE1 7RH, England, UK

Received 5 May 2011; Accepted 4 July 2011

Academic Editor: Ch Tsitouras

Copyright © 2011 Biljana Jolevska-Tuneska and Brian Fisher. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The dilogarithm integral Li( 𝑥 𝑠 ) and its associated functions L i + ( 𝑥 𝑠 ) and L i − ( 𝑥 𝑠 ) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of these functions and other functions are then found.