On the Logarithmic Integral

Year 2010, Volume: 39 Issue: 3, 393 - 401, 01.03.2010

Brian Fisher Biljana Jolevska-tuneska

Abstract

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

Keywords

Logarithmic integral, Distribution, Convolution, Neutrix, Neutrix convolution, 2000 AMS Classification: 33 B 10

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