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Volume 35 • Number 3 • 2012 |
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On the Logarithmic Integral and Convolutions
Biljana Jolevska-Tuneska and Brian Fisher
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 commutative neutrix convolutions of these functions and other functions are then found.
2010 Mathematics Subject Classification: 46F10.
Full text: PDF
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