{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T04:28:04Z","timestamp":1750220884028,"version":"3.41.0"},"reference-count":11,"publisher":"Association for Computing Machinery (ACM)","issue":"2","license":[{"start":{"date-parts":[[2019,11,8]],"date-time":"2019-11-08T00:00:00Z","timestamp":1573171200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Commun. Comput. Algebra"],"published-print":{"date-parts":[[2019,11,8]]},"abstract":"<jats:p>We present here the Sage package dd_functions which provides many features to compute with DD-finite functions, a natural extension of the class of holonomic or D-finite functions. The package, focused on a functional approach, allows the user to compute closure properties, extract coefficient sequences and compute the composition (as formal power series) of functions treated in this package. All these operations reduce the problem to linear algebra computations where classical division-free algorithms are used.<\/jats:p>","DOI":"10.1145\/3371991.3371997","type":"journal-article","created":{"date-parts":[[2019,11,8]],"date-time":"2019-11-08T20:27:58Z","timestamp":1573244878000},"page":"53-56","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["A sage implementation for DD-finite functions"],"prefix":"10.1145","volume":"53","author":[{"given":"Antonio","family":"Jim\u00e9nez-Pastor","sequence":"first","affiliation":[{"name":"Doctoral Program Computational Mathematics (JKU)"}]}],"member":"320","published-online":{"date-parts":[[2019,11,8]]},"reference":[{"volume-title":"Cambridge University Press","year":"1999","author":"Andrews G. 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Pillwein V. and Singer M. F. Some structural results on D n -finite functions. Tech. rep. Doctoral Program Computational Mathematics Preprint series 2019. Submitted to journal.","DOI":"10.1016\/j.aam.2020.102027"},{"key":"e_1_2_1_6_1","series-title":"Lecture Notes in Computer Science","first-page":"105","volume-title":"Computer Algebra and Polynomials","author":"Kauers M.","year":"2014"},{"volume-title":"Springer Publishing Company","year":"2011","author":"Kauers M.","key":"e_1_2_1_7_1"},{"key":"e_1_2_1_8_1","first-page":"9","article-title":"Advanced Applications of the Holonomic Systems Approach. PhD thesis, RISC-Linz","author":"Koutschan C","year":"2009","journal-title":"Johannes Kepler University"},{"key":"e_1_2_1_9_1","unstructured":"Rainville E. D. Special Functions first ed. Chelsea Publishing Co. Bronx N.Y. 1971.  Rainville E. D. Special Functions first ed. Chelsea Publishing Co. 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