{"id":"https://openalex.org/W3183392843","doi":"https://doi.org/10.1007/s11075-021-01165-y","title":"Computational and theoretical aspects of Romanovski-Bessel polynomials and their applications in spectral approximations","display_name":"Computational and theoretical aspects of Romanovski-Bessel polynomials and their applications in spectral approximations","publication_year":2021,"publication_date":"2021-07-17","ids":{"openalex":"https://openalex.org/W3183392843","doi":"https://doi.org/10.1007/s11075-021-01165-y","mag":"3183392843"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-021-01165-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-021-01165-y","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5002925617","display_name":"Mahmoud A. Zaky","orcid":"https://orcid.org/0000-0002-3376-7238"},"institutions":[{"id":"https://openalex.org/I4210131959","display_name":"National Research Centre","ror":"https://ror.org/02n85j827","country_code":"EG","type":"facility","lineage":["https://openalex.org/I4210131959"]},{"id":"https://openalex.org/I4210151480","display_name":"Institute of Mathematics and Mathematical Modeling","ror":"https://ror.org/05xx3wf87","country_code":"KZ","type":"government","lineage":["https://openalex.org/I4210151480"]}],"countries":["EG","KZ"],"is_corresponding":true,"raw_author_name":"Mahmoud A. Zaky","raw_affiliation_strings":["Department of Applied Mathematics, Physics Division, National Research Centre, Dokki, Cairo, 12622, Egypt","Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Physics Division, National Research Centre, Dokki, Cairo, 12622, Egypt","institution_ids":["https://openalex.org/I4210131959"]},{"raw_affiliation_string":"Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan","institution_ids":["https://openalex.org/I4210151480"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032832233","display_name":"Howayda Abo\u2010Gabal","orcid":null},"institutions":[{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Howayda Abo-Gabal","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Cairo University, Giza, 12613, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Cairo University, Giza, 12613, Egypt","institution_ids":["https://openalex.org/I145487455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086343274","display_name":"Ramy M. Hafez","orcid":"https://orcid.org/0000-0001-9533-3171"},"institutions":[{"id":"https://openalex.org/I2800088848","display_name":"Egypt Nanotechnology Center","ror":"https://ror.org/04j690992","country_code":"EG","type":"government","lineage":["https://openalex.org/I2800088848"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Ramy M. Hafez","raw_affiliation_strings":["Faculty of Education, Matrouh University, Matrouh, Egypt"],"affiliations":[{"raw_affiliation_string":"Faculty of Education, Matrouh University, Matrouh, Egypt","institution_ids":["https://openalex.org/I2800088848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016529266","display_name":"E. H. Doha","orcid":"https://orcid.org/0000-0002-7781-6871"},"institutions":[{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Eid H. Doha","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Cairo University, Giza, 12613, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Cairo University, Giza, 12613, Egypt","institution_ids":["https://openalex.org/I145487455"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5002925617"],"corresponding_institution_ids":["https://openalex.org/I4210131959","https://openalex.org/I4210151480"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3624,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.55880995,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"89","issue":"4","first_page":"1567","last_page":"1601"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9988999962806702,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.965499997138977,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/mathematics","display_name":"Mathematics","score":0.8654507994651794},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.7194573283195496},{"id":"https://openalex.org/keywords/bessel-polynomials","display_name":"Bessel polynomials","score":0.5310255289077759},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.5245404839515686},{"id":"https://openalex.org/keywords/jacobi-polynomials","display_name":"Jacobi polynomials","score":0.51813143491745},{"id":"https://openalex.org/keywords/gegenbauer-polynomials","display_name":"Gegenbauer polynomials","score":0.5162137150764465},{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.5080521106719971},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.462406188249588},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.457838773727417},{"id":"https://openalex.org/keywords/discrete-orthogonal-polynomials","display_name":"Discrete orthogonal polynomials","score":0.4454421401023865},{"id":"https://openalex.org/keywords/gaussian-quadrature","display_name":"Gaussian quadrature","score":0.41791629791259766},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.17323821783065796}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8654507994651794},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.7194573283195496},{"id":"https://openalex.org/C73295869","wikidata":"https://www.wikidata.org/wiki/Q4896402","display_name":"Bessel polynomials","level":5,"score":0.5310255289077759},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.5245404839515686},{"id":"https://openalex.org/C48490523","wikidata":"https://www.wikidata.org/wiki/Q371631","display_name":"Jacobi polynomials","level":3,"score":0.51813143491745},{"id":"https://openalex.org/C78540521","wikidata":"https://www.wikidata.org/wiki/Q1498246","display_name":"Gegenbauer polynomials","level":4,"score":0.5162137150764465},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.5080521106719971},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.462406188249588},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.457838773727417},{"id":"https://openalex.org/C52537462","wikidata":"https://www.wikidata.org/wiki/Q5282055","display_name":"Discrete orthogonal polynomials","level":3,"score":0.4454421401023865},{"id":"https://openalex.org/C167196314","wikidata":"https://www.wikidata.org/wiki/Q767680","display_name":"Gaussian quadrature","level":4,"score":0.41791629791259766},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.17323821783065796},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-021-01165-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-021-01165-y","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W21975096","https://openalex.org/W640428934","https://openalex.org/W1528387448","https://openalex.org/W1964035032","https://openalex.org/W1984127883","https://openalex.org/W1992886357","https://openalex.org/W1995194667","https://openalex.org/W2005184360","https://openalex.org/W2005876858","https://openalex.org/W2007903643","https://openalex.org/W2011879062","https://openalex.org/W2014428457","https://openalex.org/W2016438426","https://openalex.org/W2032495860","https://openalex.org/W2038099301","https://openalex.org/W2041627612","https://openalex.org/W2050211353","https://openalex.org/W2059654265","https://openalex.org/W2062026850","https://openalex.org/W2072187996","https://openalex.org/W2075454166","https://openalex.org/W2079414443","https://openalex.org/W2085387039","https://openalex.org/W2096365203","https://openalex.org/W2161641759","https://openalex.org/W2166317893","https://openalex.org/W2999290147","https://openalex.org/W3002810973","https://openalex.org/W3025598014","https://openalex.org/W3080429615","https://openalex.org/W3099298620","https://openalex.org/W4206159550","https://openalex.org/W4244332429","https://openalex.org/W4253937035"],"related_works":["https://openalex.org/W2493096353","https://openalex.org/W2072647369","https://openalex.org/W2793709684","https://openalex.org/W2045154321","https://openalex.org/W225326886","https://openalex.org/W2489863694","https://openalex.org/W1986685627","https://openalex.org/W1651872008","https://openalex.org/W2885747044","https://openalex.org/W1987363031"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}