{"id":"https://openalex.org/W2108508505","doi":"https://doi.org/10.1145/2644288.2644297","title":"Some definite integrals containing the Tree T function","display_name":"Some definite integrals containing the Tree T function","publication_year":2014,"publication_date":"2014-07-10","ids":{"openalex":"https://openalex.org/W2108508505","doi":"https://doi.org/10.1145/2644288.2644297","mag":"2108508505"},"language":"en","primary_location":{"id":"doi:10.1145/2644288.2644297","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2644288.2644297","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","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/A5044605948","display_name":"Robert M. Corless","orcid":"https://orcid.org/0000-0003-0515-1572"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Robert M. Corless","raw_affiliation_strings":["Western University, London, Canada","Western University, London, Canada,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Western University, London, Canada","institution_ids":["https://openalex.org/I125749732"]},{"raw_affiliation_string":"Western University, London, Canada,","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110203562","display_name":"Junrui Hu","orcid":null},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Junrui Hu","raw_affiliation_strings":["Western University, London, Canada","Western University, London, Canada,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Western University, London, Canada","institution_ids":["https://openalex.org/I125749732"]},{"raw_affiliation_string":"Western University, London, Canada,","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051667032","display_name":"David J. Jeffrey","orcid":"https://orcid.org/0000-0002-2161-6803"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"D. J. Jeffrey","raw_affiliation_strings":["Western University, London, Canada","Western University, London, Canada,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Western University, London, Canada","institution_ids":["https://openalex.org/I125749732"]},{"raw_affiliation_string":"Western University, London, Canada,","institution_ids":["https://openalex.org/I125749732"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I125749732"],"apc_list":null,"apc_paid":null,"fwci":0.1924,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.583373,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"48","issue":"1/2","first_page":"33","last_page":"41"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12677","display_name":"Sports Dynamics and Biomechanics","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T12677","display_name":"Sports Dynamics and Biomechanics","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T12250","display_name":"Experimental and Theoretical Physics Studies","score":0.9642000198364258,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9319999814033508,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.6689051389694214},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5953145027160645},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5436697006225586},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5428320169448853},{"id":"https://openalex.org/keywords/order-of-integration","display_name":"Order of integration (calculus)","score":0.517730176448822},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4523138403892517},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38838648796081543},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24309927225112915},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08246773481369019}],"concepts":[{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.6689051389694214},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5953145027160645},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5436697006225586},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5428320169448853},{"id":"https://openalex.org/C38582570","wikidata":"https://www.wikidata.org/wiki/Q3825182","display_name":"Order of integration (calculus)","level":2,"score":0.517730176448822},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4523138403892517},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38838648796081543},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24309927225112915},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08246773481369019},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2644288.2644297","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2644288.2644297","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.647.18","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.647.18","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.apmaths.uwo.ca/~djeffrey/Offprints/cca2014Tree.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1974945857","https://openalex.org/W2029948740","https://openalex.org/W2068728923","https://openalex.org/W2082324775","https://openalex.org/W2085043452","https://openalex.org/W2086128303","https://openalex.org/W2097899578","https://openalex.org/W2102591969","https://openalex.org/W2196559987"],"related_works":["https://openalex.org/W171076485","https://openalex.org/W190919245","https://openalex.org/W2188428054","https://openalex.org/W2076597547","https://openalex.org/W2133396672","https://openalex.org/W2032816783","https://openalex.org/W4245291382","https://openalex.org/W2007616296","https://openalex.org/W2485420135","https://openalex.org/W2043959303"],"abstract_inverted_index":{"We":[0,28],"consider,":[1],"from":[2,19],"a":[3,8,20,33,43],"symbolic":[4],"point":[5,22],"of":[6,10,23,50],"view,":[7],"pair":[9],"definite":[11],"integrals":[12,31],"containing":[13],"Lambert":[14],"W":[15],",":[16],"recently":[17],"considered":[18],"numerical":[21],"view":[24],"by":[25,42,47],"Walter":[26],"Gautschi.":[27],"transform":[29],"the":[30],"to":[32],"shape":[34],"that":[35],"can":[36],"be":[37],"integrated":[38],"in":[39],"special":[40],"cases":[41],"computer-algebra":[44],"system":[45],"or":[46],"using":[48],"tables":[49],"integrals,":[51],"such":[52],"as":[53],"Prudnikov":[54],"et":[55],"al.":[56]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}