RESULTS ON THE DILOGARITHM INTEGRAL
Brian Fisher1, Fatma El-Sirehy2
1Department of Mathematics
University of Leicester
Leicester, LE1 7RH, ENGLAND, UK
2Department of Mathematics
King Abdulaziz University
Jeddah, SAUDI ARABIA
Abstract. The dilogarithm integral $\Li ( x)$ and its associated functions $\Li _+ ( x)$ and $\Li _-(x)$ are defined as locally summable functions on the real line. Some generalization of convolutions and neutrix convolutions of these functions and other functions are then found.
AMS Subject Classification: 33B10, 46F10
Key Words and Phrases: dilogarithm integral, distribution, convolution, neutrix, neutrix convolution


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DOI: 10.12732/ijam.v28i6.7

Volume: 28
Issue: 6
Year: 2015