{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:14:00Z","timestamp":1753881240468,"version":"3.41.2"},"reference-count":6,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2011,9,6]],"date-time":"2011-09-06T00:00:00Z","timestamp":1315267200000},"content-version":"vor","delay-in-days":248,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Ss. Cyril and Methodius University","award":["08-3619\/8"],"award-info":[{"award-number":["08-3619\/8"]}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2011,1]]},"abstract":"<jats:p>The dilogarithm integral Li(<jats:italic>x<\/jats:italic><jats:sup><jats:italic>s<\/jats:italic><\/jats:sup>) and its associated functions Li<jats:sub>+<\/jats:sub>(<jats:italic>x<\/jats:italic><jats:sup><jats:italic>s<\/jats:italic><\/jats:sup>) and Li<jats:sub>\u2212<\/jats:sub>(<jats:italic>x<\/jats:italic><jats:sup><jats:italic>s<\/jats:italic><\/jats:sup>) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of these functions and other functions are then found.<\/jats:p>","DOI":"10.1155\/2011\/421601","type":"journal-article","created":{"date-parts":[[2011,9,6]],"date-time":"2011-09-06T19:10:56Z","timestamp":1315336256000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Further Results on the Dilogarithm Integral"],"prefix":"10.1155","volume":"2011","author":[{"given":"Biljana","family":"Jolevska-Tuneska","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Brian","family":"Fisher","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2011,9,6]]},"reference":[{"key":"e_1_2_4_1_2","first-page":"1004","volume-title":"Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables","author":"Abramowitz M.","year":"1972"},{"volume-title":"Generalized Functions","year":"1964","author":"Gel\u2032fand I. M.","key":"e_1_2_4_2_2"},{"key":"e_1_2_4_3_2","doi-asserted-by":"publisher","DOI":"10.1093\/qmath\/24.1.145"},{"key":"e_1_2_4_4_2","first-page":"119","article-title":"Neutrices and the convolution of distributions","volume":"17","author":"Fisher B.","year":"1987","journal-title":"Univerzitet u Novom Sadu. Zbornik Radova Prirodno-Matemati\u010dkog Fakulteta. Serija za Matemati"},{"key":"e_1_2_4_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02787689"},{"key":"e_1_2_4_6_2","first-page":"361","article-title":"On the dilogarithm integral","volume":"24","author":"Jolevska-Tuneska B.","year":"2011","journal-title":"International Journal of Applied Mathematics"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2011\/421601.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2011\/421601.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2011\/421601","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,10]],"date-time":"2024-06-10T15:01:06Z","timestamp":1718031666000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2011\/421601"}},"subtitle":[],"editor":[{"given":"Ch","family":"Tsitouras","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2011,1]]},"references-count":6,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,1]]}},"alternative-id":["10.1155\/2011\/421601"],"URL":"https:\/\/doi.org\/10.1155\/2011\/421601","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2011,1]]},"assertion":[{"value":"2011-05-05","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2011-07-04","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2011-09-06","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"421601"}}