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These sequences are constructed by using properties of orthogonal polynomials, such as the well\u2010known three\u2010term recurrence relation, as well as by considering linear combinations of two orthogonal polynomials with consecutive degree. Some examples are presented.<\/jats:p>","DOI":"10.1155\/2022\/9404316","type":"journal-article","created":{"date-parts":[[2022,3,2]],"date-time":"2022-03-02T17:50:09Z","timestamp":1646243409000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["On Robust Stability for Hurwitz Polynomials via Recurrence Relations and Linear Combinations of Orthogonal Polynomials"],"prefix":"10.1155","volume":"2022","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2867-9903","authenticated-orcid":false,"given":"Alejandro","family":"Arceo","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0059-4545","authenticated-orcid":false,"given":"H\u00e9ctor F.","family":"Flores","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2755-0235","authenticated-orcid":false,"given":"Lino G.","family":"Garza","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2569-186X","authenticated-orcid":false,"given":"Luis E.","family":"Garza","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3007-9365","authenticated-orcid":false,"given":"Gerardo","family":"Romero","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2022,3,2]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1098\/rspl.1867.0055"},{"key":"e_1_2_9_2_2","volume-title":"The theory of matrices","author":"Gantmacher F. 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