{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,9]],"date-time":"2025-05-09T14:50:10Z","timestamp":1746802210345,"version":"3.40.5"},"reference-count":6,"publisher":"Wiley","license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100005580","name":"Center for Lesbian and Gay Studies, University of New York city (CUNY)","doi-asserted-by":"publisher","award":["P120A140057"],"award-info":[{"award-number":["P120A140057"]}],"id":[{"id":"10.13039\/100005580","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000138","name":"U.S. Department of Education","doi-asserted-by":"publisher","award":["P120A140057"],"award-info":[{"award-number":["P120A140057"]}],"id":[{"id":"10.13039\/100000138","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2018]]},"abstract":"<jats:p>The partial fraction decomposition technique is very useful in many areas including mathematics and engineering. In this paper we present a new and simple method on the partial fraction decomposition of proper rational functions which have completely factored denominators over <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:mrow><mml:mi mathvariant=\"double-struck\">R<\/mml:mi><\/mml:mrow><\/mml:math> or <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M5\"><mml:mrow><mml:mi mathvariant=\"double-struck\">C<\/mml:mi><\/mml:mrow><\/mml:math>. The method is based on a recursive computation of the <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M6\"><mml:mrow><mml:mi>h<\/mml:mi><\/mml:mrow><\/mml:math>-adic polynomial in commutative algebra which is a generalization of the Taylor polynomial. Since its computation requires only simple algebraic operations, it does not require a computer algebra system to be programmed.<\/jats:p>","DOI":"10.1155\/2018\/7495964","type":"journal-article","created":{"date-parts":[[2018,4,2]],"date-time":"2018-04-02T19:32:24Z","timestamp":1522697544000},"page":"1-6","source":"Crossref","is-referenced-by-count":0,"title":["<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>h<\/mml:mi><\/mml:mrow><\/mml:math>-Adic Polynomials and Partial Fraction Decomposition of Proper Rational Functions over <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mi mathvariant=\"double-struck\">R<\/mml:mi><\/mml:mrow><\/mml:math> or <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mrow><mml:mi mathvariant=\"double-struck\">C<\/mml:mi><\/mml:mrow><\/mml:math>"],"prefix":"10.1155","volume":"2018","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9197-3902","authenticated-orcid":true,"given":"Kwang Hyun","family":"Kim","sequence":"first","affiliation":[{"name":"Departments of Mathematics and Computer Science, Queensborough Community College, 222-05 56th Avenue, Bayside, NY 11364, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xin","family":"Zhang","sequence":"additional","affiliation":[{"name":"Zicklin School of Business, Baruch College, One Bernard Baruch Way, New York, NY 10010, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"6","doi-asserted-by":"publisher","DOI":"10.1155\/2014\/895036"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1137\/0206042"},{"year":"1969","key":"1"},{"year":"2013","key":"3"},{"volume":"2","year":"1997","key":"4"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0265-3"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2018\/7495964.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2018\/7495964.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2018\/7495964.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2018,4,2]],"date-time":"2018-04-02T19:32:27Z","timestamp":1522697547000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/ijmms\/2018\/7495964\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"references-count":6,"alternative-id":["7495964","7495964"],"URL":"https:\/\/doi.org\/10.1155\/2018\/7495964","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2018]]}}}