{"id":"https://openalex.org/W2253913112","doi":"https://doi.org/10.1007/s10208-016-9313-0","title":"Do Orthogonal Polynomials Dream of Symmetric Curves?","display_name":"Do Orthogonal Polynomials Dream of Symmetric Curves?","publication_year":2016,"publication_date":"2016-04-25","ids":{"openalex":"https://openalex.org/W2253913112","doi":"https://doi.org/10.1007/s10208-016-9313-0","mag":"2253913112"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-016-9313-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-016-9313-0","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089533320","display_name":"Andrei Mart\u0131\u0301nez-Finkelshtein","orcid":"https://orcid.org/0000-0001-9421-5624"},"institutions":[{"id":"https://openalex.org/I52354020","display_name":"University of Almer\u00eda","ror":"https://ror.org/003d3xx08","country_code":"ES","type":"education","lineage":["https://openalex.org/I52354020"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"A. Mart\u00ednez-Finkelshtein","raw_affiliation_strings":["Department of Mathematics, University of Almer\u00eda, Almer\u00eda, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Almer\u00eda, Almer\u00eda, Spain","institution_ids":["https://openalex.org/I52354020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109952598","display_name":"Evguenii Andreevich Rakhmanov","orcid":null},"institutions":[{"id":"https://openalex.org/I2613432","display_name":"University of South Florida","ror":"https://ror.org/032db5x82","country_code":"US","type":"education","lineage":["https://openalex.org/I2613432"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E. A. Rakhmanov","raw_affiliation_strings":["Department of Mathematics, University of South Florida, Tampa, FL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of South Florida, Tampa, FL, USA","institution_ids":["https://openalex.org/I2613432"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089533320"],"corresponding_institution_ids":["https://openalex.org/I52354020"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.5367,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.63705134,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"16","issue":"6","first_page":"1697","last_page":"1736"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9998000264167786,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9998000264167786,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9962000250816345,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.799437403678894},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.7306490540504456},{"id":"https://openalex.org/keywords/orthogonality","display_name":"Orthogonality","score":0.7016432285308838},{"id":"https://openalex.org/keywords/complex-plane","display_name":"Complex plane","score":0.6108892560005188},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.5754412412643433},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.47207072377204895},{"id":"https://openalex.org/keywords/jacobi-polynomials","display_name":"Jacobi polynomials","score":0.44541221857070923},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3679642081260681},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3560798764228821},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1917210817337036}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.799437403678894},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.7306490540504456},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.7016432285308838},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.6108892560005188},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.5754412412643433},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.47207072377204895},{"id":"https://openalex.org/C48490523","wikidata":"https://www.wikidata.org/wiki/Q371631","display_name":"Jacobi polynomials","level":3,"score":0.44541221857070923},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3679642081260681},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3560798764228821},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1917210817337036}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10208-016-9313-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-016-9313-0","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6299999952316284,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":83,"referenced_works":["https://openalex.org/W45833573","https://openalex.org/W60675102","https://openalex.org/W68167412","https://openalex.org/W90569370","https://openalex.org/W110112960","https://openalex.org/W219526268","https://openalex.org/W1483006865","https://openalex.org/W1488341329","https://openalex.org/W1495321682","https://openalex.org/W1509845907","https://openalex.org/W1578033710","https://openalex.org/W1585209542","https://openalex.org/W1601581883","https://openalex.org/W1634645479","https://openalex.org/W1667595283","https://openalex.org/W1755416443","https://openalex.org/W1869715524","https://openalex.org/W1964581948","https://openalex.org/W1968806980","https://openalex.org/W1975048194","https://openalex.org/W1978690111","https://openalex.org/W1983225388","https://openalex.org/W1996495789","https://openalex.org/W2000650424","https://openalex.org/W2008821659","https://openalex.org/W2011711949","https://openalex.org/W2012187381","https://openalex.org/W2013245905","https://openalex.org/W2018529115","https://openalex.org/W2020394497","https://openalex.org/W2025289239","https://openalex.org/W2028501652","https://openalex.org/W2031203308","https://openalex.org/W2041634741","https://openalex.org/W2043749264","https://openalex.org/W2045391798","https://openalex.org/W2051230472","https://openalex.org/W2052193166","https://openalex.org/W2052680602","https://openalex.org/W2055009044","https://openalex.org/W2063767131","https://openalex.org/W2065270877","https://openalex.org/W2070745450","https://openalex.org/W2078637066","https://openalex.org/W2079539759","https://openalex.org/W2080787380","https://openalex.org/W2081951744","https://openalex.org/W2084325476","https://openalex.org/W2089992178","https://openalex.org/W2092641862","https://openalex.org/W2102591969","https://openalex.org/W2103543410","https://openalex.org/W2104709479","https://openalex.org/W2114932511","https://openalex.org/W2120062331","https://openalex.org/W2137531692","https://openalex.org/W2186863039","https://openalex.org/W2219422993","https://openalex.org/W2220303346","https://openalex.org/W2288453532","https://openalex.org/W2315496664","https://openalex.org/W2318538941","https://openalex.org/W2321612180","https://openalex.org/W2323966001","https://openalex.org/W2327055419","https://openalex.org/W2330476660","https://openalex.org/W2333101349","https://openalex.org/W2334347857","https://openalex.org/W2505089911","https://openalex.org/W2952092809","https://openalex.org/W2963653646","https://openalex.org/W2963775155","https://openalex.org/W2963884005","https://openalex.org/W2964150507","https://openalex.org/W3098527372","https://openalex.org/W3098887565","https://openalex.org/W3103244606","https://openalex.org/W3103336926","https://openalex.org/W4235384908","https://openalex.org/W4247204933","https://openalex.org/W4251860002","https://openalex.org/W4289253580","https://openalex.org/W6602478498"],"related_works":["https://openalex.org/W4288019454","https://openalex.org/W4249013419","https://openalex.org/W2023605502","https://openalex.org/W2067464250","https://openalex.org/W3112961020","https://openalex.org/W2991234575","https://openalex.org/W1519462899","https://openalex.org/W2014327437","https://openalex.org/W2952791423","https://openalex.org/W1498297509"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}