{"id":"https://openalex.org/W4220660840","doi":"https://doi.org/10.1007/s40314-022-01816-3","title":"The numerical algorithms of infinite integrals involving products of Bessel functions of arbitrary order","display_name":"The numerical algorithms of infinite integrals involving products of Bessel functions of arbitrary order","publication_year":2022,"publication_date":"2022-03-22","ids":{"openalex":"https://openalex.org/W4220660840","doi":"https://doi.org/10.1007/s40314-022-01816-3"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-022-01816-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-022-01816-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied 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/A5073230365","display_name":"Yonglin Yang","orcid":"https://orcid.org/0000-0002-8746-0821"},"institutions":[{"id":"https://openalex.org/I21642278","display_name":"Ningxia University","ror":"https://ror.org/04j7b2v61","country_code":"CN","type":"education","lineage":["https://openalex.org/I21642278"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yonglin Yang","raw_affiliation_strings":["School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I21642278"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061377938","display_name":"Shenghu Ding","orcid":"https://orcid.org/0000-0001-5706-7001"},"institutions":[{"id":"https://openalex.org/I21642278","display_name":"Ningxia University","ror":"https://ror.org/04j7b2v61","country_code":"CN","type":"education","lineage":["https://openalex.org/I21642278"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shenghu Ding","raw_affiliation_strings":["School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I21642278"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101952705","display_name":"Wenshuai Wang","orcid":"https://orcid.org/0000-0003-2467-3747"},"institutions":[{"id":"https://openalex.org/I21642278","display_name":"Ningxia University","ror":"https://ror.org/04j7b2v61","country_code":"CN","type":"education","lineage":["https://openalex.org/I21642278"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenshuai Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I21642278"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043902239","display_name":"Xu Wang","orcid":"https://orcid.org/0000-0001-7509-8012"},"institutions":[{"id":"https://openalex.org/I21642278","display_name":"Ningxia University","ror":"https://ror.org/04j7b2v61","country_code":"CN","type":"education","lineage":["https://openalex.org/I21642278"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xu Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I21642278"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100358668","display_name":"Xing Li","orcid":"https://orcid.org/0000-0002-4736-8043"},"institutions":[{"id":"https://openalex.org/I21642278","display_name":"Ningxia University","ror":"https://ror.org/04j7b2v61","country_code":"CN","type":"education","lineage":["https://openalex.org/I21642278"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xing Li","raw_affiliation_strings":["School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I21642278"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5073230365"],"corresponding_institution_ids":["https://openalex.org/I21642278"],"apc_list":null,"apc_paid":null,"fwci":0.3931,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.48908386,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"41","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9962000250816345,"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":0.9932000041007996,"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/bessel-function","display_name":"Bessel function","score":0.8612253665924072},{"id":"https://openalex.org/keywords/hankel-transform","display_name":"Hankel transform","score":0.6736855506896973},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6690633296966553},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.5738045573234558},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5270935297012329},{"id":"https://openalex.org/keywords/inverse-laplace-transform","display_name":"Inverse Laplace transform","score":0.46301859617233276},{"id":"https://openalex.org/keywords/bessel-filter","display_name":"Bessel filter","score":0.44303038716316223},{"id":"https://openalex.org/keywords/cylindrical-harmonics","display_name":"Cylindrical harmonics","score":0.41309791803359985},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33046719431877136},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.07649722695350647}],"concepts":[{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.8612253665924072},{"id":"https://openalex.org/C57640460","wikidata":"https://www.wikidata.org/wiki/Q155208","display_name":"Hankel transform","level":3,"score":0.6736855506896973},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6690633296966553},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.5738045573234558},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5270935297012329},{"id":"https://openalex.org/C60455284","wikidata":"https://www.wikidata.org/wiki/Q2162701","display_name":"Inverse Laplace transform","level":3,"score":0.46301859617233276},{"id":"https://openalex.org/C177798896","wikidata":"https://www.wikidata.org/wiki/Q830123","display_name":"Bessel filter","level":5,"score":0.44303038716316223},{"id":"https://openalex.org/C115171141","wikidata":"https://www.wikidata.org/wiki/Q5199282","display_name":"Cylindrical harmonics","level":5,"score":0.41309791803359985},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33046719431877136},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.07649722695350647},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.0},{"id":"https://openalex.org/C78540521","wikidata":"https://www.wikidata.org/wiki/Q1498246","display_name":"Gegenbauer polynomials","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-022-01816-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-022-01816-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1227967856","display_name":null,"funder_award_id":"42064004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G285233888","display_name":null,"funder_award_id":"82060331","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335785","display_name":"Project 211","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1168978646","https://openalex.org/W1572931610","https://openalex.org/W1967022703","https://openalex.org/W1974470984","https://openalex.org/W1989095828","https://openalex.org/W2006677170","https://openalex.org/W2009986244","https://openalex.org/W2012319117","https://openalex.org/W2019766684","https://openalex.org/W2025583215","https://openalex.org/W2032732954","https://openalex.org/W2052818029","https://openalex.org/W2104344420","https://openalex.org/W2117069093","https://openalex.org/W2147983461","https://openalex.org/W2156707583","https://openalex.org/W2157416429","https://openalex.org/W2161068990","https://openalex.org/W2315780291","https://openalex.org/W2334191988","https://openalex.org/W2463002925","https://openalex.org/W2605348563","https://openalex.org/W2963540395","https://openalex.org/W3118842373","https://openalex.org/W3122287253","https://openalex.org/W3124675483","https://openalex.org/W4239006144"],"related_works":["https://openalex.org/W2483609413","https://openalex.org/W1525262969","https://openalex.org/W2014926876","https://openalex.org/W2024038326","https://openalex.org/W1605053285","https://openalex.org/W1977562800","https://openalex.org/W4236729297","https://openalex.org/W2754808654","https://openalex.org/W2011121568","https://openalex.org/W4238394583"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}