{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T02:00:35Z","timestamp":1760061635489},"reference-count":21,"publisher":"Elsevier BV","issue":"3","license":[{"start":{"date-parts":[[1985,9,1]],"date-time":"1985-09-01T00:00:00Z","timestamp":494380800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":10181,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Symbolic Computation"],"published-print":{"date-parts":[[1985,9]]},"DOI":"10.1016\/s0747-7171(85)80037-7","type":"journal-article","created":{"date-parts":[[2008,4,9]],"date-time":"2008-04-09T10:00:48Z","timestamp":1207735248000},"page":"283-302","source":"Crossref","is-referenced-by-count":17,"title":["Integration in Finite Terms with Special Functions: the Error Function"],"prefix":"10.1016","volume":"1","author":[{"given":"G.W.","family":"Cherry","sequence":"first","affiliation":[]}],"member":"78","reference":[{"year":"1953","series-title":"Higher Transcendental Functions","author":"Bateman","key":"10.1016\/S0747-7171(85)80037-7_bib1"},{"key":"10.1016\/S0747-7171(85)80037-7_bib2","first-page":"82","article-title":"Algorithms for Integrating Elementary Functions in Terms of Error Functions and Logarithmic Integrals, Ph.D. Thesis, University of Delaware, 1983","author":"Cherry","year":"1983","journal-title":"Also available as a University of Delaware Computer Science Department Technical Report"},{"key":"10.1016\/S0747-7171(85)80037-7_bib3","article-title":"Integration in finite terms with special functions: the logarithmic integral","author":"Cherry","year":"1984","journal-title":"SIAM J. Comp."},{"key":"10.1016\/S0747-7171(85)80037-7_bib4","series-title":"Proceedings Eurosam 1984","article-title":"Integration in finite terms with special functions: a progress report","author":"Cherry","year":"1984"},{"key":"10.1016\/S0747-7171(85)80037-7_bib5","article-title":"On the Integration of Algebraic Functions","volume":"102","author":"Davenport","year":"1981"},{"year":"1957","series-title":"An Introduction to Differential Algebra","author":"Kaplansky","key":"10.1016\/S0747-7171(85)80037-7_bib6"},{"key":"10.1016\/S0747-7171(85)80037-7_bib7","series-title":"Computer Science Department, University of Utah, Technical Report, VCP-39","article-title":"Integration of affine forms over elementary functions","author":"Mack","year":"1976"},{"key":"10.1016\/S0747-7171(85)80037-7_bib8","doi-asserted-by":"crossref","first-page":"548","DOI":"10.1145\/362637.362651","article-title":"Symbolic integration, the stormy decade","volume":"14","author":"Moses","year":"1971","journal-title":"Commun. ACM"},{"key":"10.1016\/S0747-7171(85)80037-7_bib9","doi-asserted-by":"crossref","first-page":"550","DOI":"10.1145\/361454.361466","article-title":"Towards a general theory of special functions","volume":"15","author":"Moses","year":"1972","journal-title":"Commun. ACM"},{"key":"10.1016\/S0747-7171(85)80037-7_bib10","series-title":"Symbolic and Algebraic Computation","first-page":"426","article-title":"An extension of Liouville's theorem","author":"Moses","year":"1979"},{"key":"10.1016\/S0747-7171(85)80037-7_bib11","series-title":"Symbolic and Algebraic Computation","first-page":"398","article-title":"Symbolic integration-the dust settles?","author":"Norman","year":"1979"},{"key":"10.1016\/S0747-7171(85)80037-7_bib12","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1090\/S0002-9947-1969-0237477-8","article-title":"The problem of integration in finite terms","volume":"139","author":"Risch","year":"1969","journal-title":"Trans. Amer. Math. Soc"},{"year":"1948","series-title":"Integration in Finite Terms, Liouville's theory of Elementary Methods","author":"Ritt","key":"10.1016\/S0747-7171(85)80037-7_bib13"},{"key":"10.1016\/S0747-7171(85)80037-7_bib14","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1137\/0208028","article-title":"A structure theorem for exponential and primitive functions","volume":"8","author":"Rothstein","year":"1979","journal-title":"SIAM J, Comp."},{"key":"10.1016\/S0747-7171(85)80037-7_bib15","doi-asserted-by":"crossref","first-page":"485","DOI":"10.2140\/pjm.1976.65.485","article-title":"On Liouville's theory of elementary functions","volume":"65","author":"Rosenlicht","year":"1976","journal-title":"Pacific J. Math"},{"key":"10.1016\/S0747-7171(85)80037-7_bib16","series-title":"Proceedings of the 1981 ACM Symposium on Symbolic and Algebraic Computation","article-title":"An extension of Liouville's theorem on integration in finite terms, extended abstract","author":"Singer","year":"1981"},{"key":"10.1016\/S0747-7171(85)80037-7_bib17","article-title":"An extension of Liouville's theorem on integration in finite terms","author":"Singer","year":"1984","journal-title":"SIAM J. Comp."},{"key":"10.1016\/S0747-7171(85)80037-7_bib18","article-title":"Integration of Algebraic Functions","author":"Trager","year":"1984","journal-title":"Ph.D. Thesis, M.I.T."},{"key":"10.1016\/S0747-7171(85)80037-7_bib19","series-title":"Symbolic and Algebraic Computation","first-page":"408","article-title":"Integration of simple radical extensions","author":"Trager","year":"1979"},{"year":"1950","series-title":"Modern Algebra","author":"Van der Waerden","key":"10.1016\/S0747-7171(85)80037-7_bib20"},{"key":"10.1016\/S0747-7171(85)80037-7_bib21","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1145\/1089389.1089395","article-title":"Completing the L-th power in Z[x]","volume":"71","author":"Zwillinger","year":"1984","journal-title":"Sigsam Bulletin"}],"container-title":["Journal of Symbolic Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0747717185800377?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0747717185800377?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2018,12,30]],"date-time":"2018-12-30T07:29:51Z","timestamp":1546154991000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0747717185800377"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1985,9]]},"references-count":21,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1985,9]]}},"alternative-id":["S0747717185800377"],"URL":"https:\/\/doi.org\/10.1016\/s0747-7171(85)80037-7","relation":{},"ISSN":["0747-7171"],"issn-type":[{"type":"print","value":"0747-7171"}],"subject":[],"published":{"date-parts":[[1985,9]]}}}