{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T15:11:06Z","timestamp":1776870666427,"version":"3.51.2"},"reference-count":13,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2006,4,11]],"date-time":"2006-04-11T00:00:00Z","timestamp":1144713600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["AAECC"],"published-print":{"date-parts":[[2006,6]]},"DOI":"10.1007\/s00200-005-0193-9","type":"journal-article","created":{"date-parts":[[2006,4,10]],"date-time":"2006-04-10T14:28:56Z","timestamp":1144679336000},"page":"117-133","source":"Crossref","is-referenced-by-count":22,"title":["Apparent singularities of linear difference equations with polynomial coefficients"],"prefix":"10.1007","volume":"17","author":[{"given":"S. A.","family":"Abramov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. A.","family":"Barkatou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"van Hoeij","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2006,4,11]]},"reference":[{"key":"193_CR1","doi-asserted-by":"crossref","unstructured":"Abramov, S.A.: Rational solutions of linear difference and q-difference equations with polynomial coefficients. Programming and Comput. Software (1995) 21, 273\u2013278. (Translated from Programmirovanie (1995) 21, 3\u201311.)","DOI":"10.1145\/220346.220383"},{"key":"193_CR2","unstructured":"Abramov, S.A., van Hoeij, M.: Desingularization of linear difference operators with polynomial coefficients. Proc. ISSAC'99, Vancouver (1999) pp. 269\u2013275"},{"key":"193_CR3","unstructured":"Abramov, S.A., van Hoeij, M.: Set of poles of solutions of linear difference equations with polynomial coefficients. J. Comput. Math. Math. Phys. (2003) 43(1), 57\u201362 (Translated from Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki (2003) 43(1), 60\u201365.)"},{"key":"193_CR4","unstructured":"Barkatou, M.A.: Contribution \u00e0 l'\u00e9tude des \u00e9quations diff\u00e9rentielles et aux diff\u00e9rences dans le champ complexe, PhD Thesis (1989) INPG, Grenoble France"},{"key":"193_CR5","unstructured":"van Hoeij, M.: Formal solutions and factorization of differential operators with power series coefficients. J. Symb. Comput. 24, 1\u201330 (1997)"},{"key":"193_CR6","unstructured":"van Hoeij, M.: Finite singularities and hypergeometric solutions of linear recurrence equations. J. Pure Appl. Algebra 139, 109\u2013131 (1999)"},{"key":"193_CR7","doi-asserted-by":"crossref","unstructured":"Immink, G.K.: On the relation between linear difference and differential equations with polynomial coefficients. Math. Nachr. 200, 59\u201376 (1999)","DOI":"10.1002\/mana.19992000104"},{"key":"193_CR8","unstructured":"Ince, E.L.: Ordinary differential equations. New York: Dover, 1944"},{"key":"193_CR9","unstructured":"Man, Y.K., Wright, F.G.: Fast polynomial dispersion computation and its application to indefinite summation. Proc. ISSAC'94, Oxford (1994), pp. 175\u2013180"},{"key":"193_CR10","unstructured":"Mitichkina, A.M.: On an implementation of desingularization of linear recurrence operators with polynomial coefficients. Proc. of the international workshop ``Computer Algebra and its application to Physics'' (CAAP'2001), Russia, Dubna (2001), pp. 212\u2013220"},{"key":"193_CR11","unstructured":"Petkovsek, M.: Hypergeometric solutions of linear recurrences with polynomial coefficients. J. Symb. Comput. 14, 243\u2013264 (1992)"},{"key":"193_CR12","unstructured":"Ramis, J.-P.: Etude des solutions m\u00e9romorphes des \u00e9quations aux diff\u00e9rences lin\u00e9aires alg\u00e9briques, manuscript"},{"key":"193_CR13","unstructured":"Tsai, H.: Weyl Closure of linear differential operator. J. Symb. Comput. 29, 747\u2013775 (2000)"}],"container-title":["Applicable Algebra in Engineering, Communication and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00200-005-0193-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00200-005-0193-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00200-005-0193-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,23]],"date-time":"2019-05-23T15:24:19Z","timestamp":1558625059000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00200-005-0193-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,4,11]]},"references-count":13,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2006,6]]}},"alternative-id":["193"],"URL":"https:\/\/doi.org\/10.1007\/s00200-005-0193-9","relation":{},"ISSN":["0938-1279","1432-0622"],"issn-type":[{"value":"0938-1279","type":"print"},{"value":"1432-0622","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,4,11]]}}}