{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T14:18:01Z","timestamp":1775053081877,"version":"3.50.1"},"publisher-location":"Berlin, Heidelberg","reference-count":8,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540751861","type":"print"},{"value":"9783540751878","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-75187-8_1","type":"book-chapter","created":{"date-parts":[[2007,9,1]],"date-time":"2007-09-01T15:13:38Z","timestamp":1188659618000},"page":"1-10","source":"Crossref","is-referenced-by-count":2,"title":["Analytic Solutions of Linear Difference Equations, Formal Series, and Bottom Summation"],"prefix":"10.1007","author":[{"given":"S. A.","family":"Abramov","sequence":"first","affiliation":[]},{"given":"M.","family":"Petkov\u0161ek","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"1_CR1","unstructured":"Abramov, S.A.: On the summation of P-recursive sequences. In: Proc. ISSAC 2006. Int. Symp. on Symbolic and Algebraic Computation. Genova, Italy, 9\u201312 July, 2006, pp. 17\u201322 (2006)"},{"key":"1_CR2","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1007\/s00200-005-0193-9","volume":"17","author":"S.A. Abramov","year":"2006","unstructured":"Abramov, S.A., Barkatou, M.A., van Hoeij, M.: Apparent singularities of linear difference equations with polynomial coefficients. AAECC (Applicable Algebra in Engineering, Communication and Computing)\u00a017, 117\u2013133 (2006)","journal-title":"AAECC (Applicable Algebra in Engineering, Communication and Computing)"},{"key":"1_CR3","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1080\/10652469908819212","volume":"8","author":"S.A. Abramov","year":"1999","unstructured":"Abramov, S.A., van Hoeij, M.: Integration of solutions of linear functional equations. Integral Transforms and Special Functions\u00a08, 3\u201312 (1999)","journal-title":"Integral Transforms and Special Functions"},{"key":"1_CR4","first-page":"57","volume":"43","author":"S.A. Abramov","year":"2003","unstructured":"Abramov, S.A., van Hoeij, M.: Set of poles of solutions of linear difference equations with polynomial coefficients (Translated from Zhurnal Vychislitel\u2019noi Matematiki i Matematicheskoi Fiziki 43, 60\u201365 (2003)). J. Comput. Math. Math. Phys\u00a043, 57\u201362 (2003)","journal-title":"J. Comput. Math. Math. Phys"},{"key":"1_CR5","unstructured":"Abramov, S.A.: Petkov\u0161ek, M.: Gosper\u2019s Algorithm, Accurate Summation, and the discrete Newton\u2013Leibniz formula. In: ISSAC 2005. Int. Symp. on Symbolic and Algebraic Computation. Beijing, China; 24\u201327 July, 2005, pp. 5\u201312 (2005)"},{"key":"1_CR6","unstructured":"Barkatou, M.A.: Contribution \u00e0 l\u2019\u00e9tude des \u00e9quations diff\u00e9rentielles et aux diff\u00e9rences dans le champ complexe. PhD Thesis, INPG Grenoble, France (1989)"},{"key":"1_CR7","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1016\/S0022-4049(99)00008-0","volume":"139","author":"M. Hoeij van","year":"1999","unstructured":"van Hoeij, M.: Finite singularities and hypergeometric solutions of linear recurrence equations. J. Pure Appl. Algebra\u00a0139, 109\u2013131 (1999)","journal-title":"J. Pure Appl. Algebra"},{"key":"1_CR8","doi-asserted-by":"publisher","first-page":"40","DOI":"10.1073\/pnas.75.1.40","volume":"75","author":"R.W. Gosper Jr.","year":"1978","unstructured":"Gosper Jr., R.W.: Decision procedure for indefinite hypergeometric summation. Proc. Natl. Acad. Sci.\u00a075, 40\u201342 (1978)","journal-title":"Proc. Natl. Acad. Sci."}],"container-title":["Lecture Notes in Computer Science","Computer Algebra in Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-75187-8_1.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T10:54:40Z","timestamp":1619520880000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-75187-8_1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540751861","9783540751878"],"references-count":8,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-75187-8_1","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[]}}