Further Results on the Dilogarithm Integral
The dilogarithm integral Li(xs) and its associated functions Li+(xs) and Li-(xs) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of these functions and other functions are then found.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/421601 |
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| _version_ | 1832555948832456704 |
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| author | Biljana Jolevska-Tuneska Brian Fisher |
| author_facet | Biljana Jolevska-Tuneska Brian Fisher |
| author_sort | Biljana Jolevska-Tuneska |
| collection | DOAJ |
| description | The dilogarithm integral Li(xs) and its associated functions Li+(xs) and Li-(xs) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of these functions and other functions are then found. |
| format | Article |
| id | doaj-art-b83d0c1c0b32465980483067be519bed |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b83d0c1c0b32465980483067be519bed2025-02-03T05:46:45ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/421601421601Further Results on the Dilogarithm IntegralBiljana Jolevska-Tuneska0Brian Fisher1Faculty of Electrical Engineering and Informational Technologies, Ss. Cyril and Methodius University in Skopje, Karpos II bb, 1000 Skopje, MacedoniaDepartment of Mathematics, University of Leicester, Leicester LE1 7RH, England, UKThe dilogarithm integral Li(xs) and its associated functions Li+(xs) and Li-(xs) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of these functions and other functions are then found.http://dx.doi.org/10.1155/2011/421601 |
| spellingShingle | Biljana Jolevska-Tuneska Brian Fisher Further Results on the Dilogarithm Integral Journal of Applied Mathematics |
| title | Further Results on the Dilogarithm Integral |
| title_full | Further Results on the Dilogarithm Integral |
| title_fullStr | Further Results on the Dilogarithm Integral |
| title_full_unstemmed | Further Results on the Dilogarithm Integral |
| title_short | Further Results on the Dilogarithm Integral |
| title_sort | further results on the dilogarithm integral |
| url | http://dx.doi.org/10.1155/2011/421601 |
| work_keys_str_mv | AT biljanajolevskatuneska furtherresultsonthedilogarithmintegral AT brianfisher furtherresultsonthedilogarithmintegral |