{"id":"https://openalex.org/W4405078797","doi":"https://doi.org/10.1007/s11075-024-01985-8","title":"Approximation operators explored through the lens of degenerate hermite polynomials","display_name":"Approximation operators explored through the lens of degenerate hermite polynomials","publication_year":2024,"publication_date":"2024-12-05","ids":{"openalex":"https://openalex.org/W4405078797","doi":"https://doi.org/10.1007/s11075-024-01985-8"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-024-01985-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-024-01985-8","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/A5080075975","display_name":"Nusrat Raza","orcid":"https://orcid.org/0000-0002-1247-6431"},"institutions":[{"id":"https://openalex.org/I171210897","display_name":"Aligarh Muslim University","ror":"https://ror.org/03kw9gc02","country_code":"IN","type":"education","lineage":["https://openalex.org/I171210897"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Nusrat Raza","raw_affiliation_strings":["Mathematics Section, Women\u2019s College, Aligarh Muslim University, 202002, Aligarh, India","Mathematics Section, Women's College, Aligarh Muslim University, 202002, Aligarh, India"],"affiliations":[{"raw_affiliation_string":"Mathematics Section, Women\u2019s College, Aligarh Muslim University, 202002, Aligarh, India","institution_ids":["https://openalex.org/I171210897"]},{"raw_affiliation_string":"Mathematics Section, Women's College, Aligarh Muslim University, 202002, Aligarh, India","institution_ids":["https://openalex.org/I171210897"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036459830","display_name":"Manoj Kumar","orcid":"https://orcid.org/0009-0005-0697-3190"},"institutions":[{"id":"https://openalex.org/I171210897","display_name":"Aligarh Muslim University","ror":"https://ror.org/03kw9gc02","country_code":"IN","type":"education","lineage":["https://openalex.org/I171210897"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Manoj Kumar","raw_affiliation_strings":["Department of Mathematics, Aligarh Muslim University, 202002, Aligarh, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Aligarh Muslim University, 202002, Aligarh, India","institution_ids":["https://openalex.org/I171210897"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102867027","display_name":"M. \u200eMursaleen","orcid":"https://orcid.org/0000-0003-4128-0427"},"institutions":[{"id":"https://openalex.org/I254887060","display_name":"University of North Sumatra","ror":"https://ror.org/01kknrc90","country_code":"ID","type":"education","lineage":["https://openalex.org/I254887060"]},{"id":"https://openalex.org/I184693016","display_name":"China Medical University","ror":"https://ror.org/00v408z34","country_code":"TW","type":"education","lineage":["https://openalex.org/I184693016"]},{"id":"https://openalex.org/I4210126829","display_name":"China Medical University Hospital","ror":"https://ror.org/0368s4g32","country_code":"TW","type":"healthcare","lineage":["https://openalex.org/I4210126829"]},{"id":"https://openalex.org/I171210897","display_name":"Aligarh Muslim University","ror":"https://ror.org/03kw9gc02","country_code":"IN","type":"education","lineage":["https://openalex.org/I171210897"]}],"countries":["ID","IN","TW"],"is_corresponding":false,"raw_author_name":"M. Mursaleen","raw_affiliation_strings":["Department of Mathematics, Aligarh Muslim University, 202002, Aligarh, India","Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, Taiwan","Faculty of Mathematics and Natural Sciences, Universitas Sumatera Utara, 20155, Medan, Indonesia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Aligarh Muslim University, 202002, Aligarh, India","institution_ids":["https://openalex.org/I171210897"]},{"raw_affiliation_string":"Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, Taiwan","institution_ids":["https://openalex.org/I4210126829","https://openalex.org/I184693016"]},{"raw_affiliation_string":"Faculty of Mathematics and Natural Sciences, Universitas Sumatera Utara, 20155, Medan, Indonesia","institution_ids":["https://openalex.org/I254887060"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080075975"],"corresponding_institution_ids":["https://openalex.org/I171210897"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.2093,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.89048323,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"100","issue":"3","first_page":"1179","last_page":"1198"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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":0.9976000189781189,"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":0.9975000023841858,"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/hermite-polynomials","display_name":"Hermite polynomials","score":0.8285554647445679},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7144134640693665},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.7088246941566467},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5512118339538574},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.4539697766304016},{"id":"https://openalex.org/keywords/lens","display_name":"Lens (geology)","score":0.4249013066291809},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.4094158709049225},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.406253844499588},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1263003945350647},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.11476796865463257},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08799394965171814},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07251355051994324}],"concepts":[{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.8285554647445679},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7144134640693665},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.7088246941566467},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5512118339538574},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.4539697766304016},{"id":"https://openalex.org/C15336307","wikidata":"https://www.wikidata.org/wiki/Q1766051","display_name":"Lens (geology)","level":2,"score":0.4249013066291809},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.4094158709049225},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.406253844499588},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1263003945350647},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.11476796865463257},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08799394965171814},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07251355051994324}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-024-01985-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-024-01985-8","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":16,"referenced_works":["https://openalex.org/W1974467810","https://openalex.org/W1981492243","https://openalex.org/W1985849796","https://openalex.org/W1989203263","https://openalex.org/W2319633204","https://openalex.org/W2414055905","https://openalex.org/W2770107222","https://openalex.org/W2796163308","https://openalex.org/W2982671915","https://openalex.org/W3030060929","https://openalex.org/W4205354563","https://openalex.org/W4244191523","https://openalex.org/W4389894973","https://openalex.org/W4391474598","https://openalex.org/W4391970381","https://openalex.org/W4401339070"],"related_works":["https://openalex.org/W2493096353","https://openalex.org/W3125460591","https://openalex.org/W2504939013","https://openalex.org/W2151132381","https://openalex.org/W2012860697","https://openalex.org/W1570370571","https://openalex.org/W2081607056","https://openalex.org/W1651872008","https://openalex.org/W1997701590","https://openalex.org/W3046221473"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
