{"id":"https://openalex.org/W4286458974","doi":"https://doi.org/10.1007/978-3-031-10536-4_31","title":"Remarks on\u00a0the\u00a0Zeros of\u00a0Quadratic Coquaternionic Polynomials","display_name":"Remarks on\u00a0the\u00a0Zeros of\u00a0Quadratic Coquaternionic Polynomials","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4286458974","doi":"https://doi.org/10.1007/978-3-031-10536-4_31"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-10536-4_31","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-10536-4_31","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/1822/82863","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027704133","display_name":"M. I. Falc\u00e3o","orcid":"https://orcid.org/0000-0001-7948-8341"},"institutions":[{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Maria Irene Falc\u00e3o","raw_affiliation_strings":["CMAT and Departamento de Matem\u00e1tica, Universidade do Minho, Braga, Portugal"],"raw_orcid":"https://orcid.org/0000-0001-7948-8341","affiliations":[{"raw_affiliation_string":"CMAT and Departamento de Matem\u00e1tica, Universidade do Minho, Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022270930","display_name":"Fernando Miranda","orcid":"https://orcid.org/0000-0002-7624-4816"},"institutions":[{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Fernando Miranda","raw_affiliation_strings":["CMAT and Departamento de Matem\u00e1tica, Universidade do Minho, Braga, Portugal"],"raw_orcid":"https://orcid.org/0000-0002-7624-4816","affiliations":[{"raw_affiliation_string":"CMAT and Departamento de Matem\u00e1tica, Universidade do Minho, Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046021867","display_name":"Ricardo Severino","orcid":"https://orcid.org/0000-0002-4102-4151"},"institutions":[{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Ricardo Severino","raw_affiliation_strings":["CMAT and Departamento de Matem\u00e1tica, Universidade do Minho, Braga, Portugal"],"raw_orcid":"https://orcid.org/0000-0002-4102-4151","affiliations":[{"raw_affiliation_string":"CMAT and Departamento de Matem\u00e1tica, Universidade do Minho, Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019667687","display_name":"Maria Joana Soares","orcid":"https://orcid.org/0000-0003-3943-1900"},"institutions":[{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Maria Joana Soares","raw_affiliation_strings":["NIPE, Universidade do Minho, Braga, Portugal"],"raw_orcid":"https://orcid.org/0000-0003-3943-1900","affiliations":[{"raw_affiliation_string":"NIPE, Universidade do Minho, Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5027704133"],"corresponding_institution_ids":["https://openalex.org/I99682543"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.4207,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.85154827,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"466","last_page":"477"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12812","display_name":"Meromorphic and Entire Functions","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monic-polynomial","display_name":"Monic polynomial","score":0.8037659525871277},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6813580989837646},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6209179162979126},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5245535373687744},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4938967823982239},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.45621457695961},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38087207078933716},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3230934739112854},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.26965343952178955},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.234654039144516},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06360840797424316},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.04229310154914856}],"concepts":[{"id":"https://openalex.org/C163635466","wikidata":"https://www.wikidata.org/wiki/Q3099696","display_name":"Monic polynomial","level":3,"score":0.8037659525871277},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6813580989837646},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6209179162979126},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5245535373687744},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4938967823982239},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.45621457695961},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38087207078933716},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3230934739112854},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.26965343952178955},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.234654039144516},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06360840797424316},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.04229310154914856},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-031-10536-4_31","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-10536-4_31","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:repositorium.sdum.uminho.pt:1822/82863","is_oa":true,"landing_page_url":"https://hdl.handle.net/1822/82863","pdf_url":null,"source":{"id":"https://openalex.org/S4306400354","display_name":"Reposit\u00f3riUM (Universidade do Minho)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99682543","host_organization_name":"University of Minho","host_organization_lineage":["https://openalex.org/I99682543"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference paper"}],"best_oa_location":{"id":"pmh:oai:repositorium.sdum.uminho.pt:1822/82863","is_oa":true,"landing_page_url":"https://hdl.handle.net/1822/82863","pdf_url":null,"source":{"id":"https://openalex.org/S4306400354","display_name":"Reposit\u00f3riUM (Universidade do Minho)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99682543","host_organization_name":"University of Minho","host_organization_lineage":["https://openalex.org/I99682543"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference paper"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1529627474","https://openalex.org/W1964991686","https://openalex.org/W1965799894","https://openalex.org/W1977798672","https://openalex.org/W2089101795","https://openalex.org/W2093168124","https://openalex.org/W2129032804","https://openalex.org/W2595114961","https://openalex.org/W2604249596","https://openalex.org/W2624915746","https://openalex.org/W2724910002","https://openalex.org/W2757212416","https://openalex.org/W2780578165","https://openalex.org/W2794298317","https://openalex.org/W2919855099","https://openalex.org/W2968011701","https://openalex.org/W2995622156","https://openalex.org/W3098202904","https://openalex.org/W3101034864","https://openalex.org/W3105706390","https://openalex.org/W3201315126","https://openalex.org/W4207038412"],"related_works":["https://openalex.org/W2165237086","https://openalex.org/W2060118968","https://openalex.org/W4229050617","https://openalex.org/W2619453705","https://openalex.org/W2060032448","https://openalex.org/W2326737905","https://openalex.org/W1999617829","https://openalex.org/W1984588794","https://openalex.org/W3035504367","https://openalex.org/W2005681436"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-21T07:57:09.225873","created_date":"2025-10-10T00:00:00"}