{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T21:24:43Z","timestamp":1649021083537},"reference-count":6,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>The series solution is widely applied to differential equations on but is not found in -differential equations. Applying the Taylor and multiplication rule of two generalized polynomials, we develop a series solution of linear homogeneous -difference equations. As an example, the series solution method is used to find a series solution of the second-order -difference equation of Hermite\u2019s type.<\/jats:p>","DOI":"10.1155\/2013\/743973","type":"journal-article","created":{"date-parts":[[2013,5,13]],"date-time":"2013-05-13T17:04:17Z","timestamp":1368464657000},"page":"1-4","source":"Crossref","is-referenced-by-count":0,"title":["Developing a Series Solution Method of -Difference Equations"],"prefix":"10.1155","volume":"2013","author":[{"given":"Hsuan-Ku","family":"Liu","sequence":"first","affiliation":[{"name":"Department of Mathematics and Information Education, National Taipei University of Education, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"98","reference":[{"issue":"1-2","key":"3","first-page":"149","volume":"12","year":"2003","journal-title":"Dynamic Systems and Applications"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2009.01.033"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2011.02.048"},{"key":"4"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0201-1"},{"issue":"1-2","key":"1","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/BF03322019","volume":"35","year":"1999","journal-title":"Results in Mathematics"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/743973.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/743973.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/743973.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,21]],"date-time":"2017-06-21T08:57:09Z","timestamp":1498035429000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2013\/743973\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":6,"alternative-id":["743973","743973"],"URL":"https:\/\/doi.org\/10.1155\/2013\/743973","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013]]}}}