{"id":"https://openalex.org/W2371017677","doi":null,"title":"PROPERTIES OF QUASI-CAUCHY INTEGRAL OF HYPERMONGENIC FUNCTION IN REAL CLIFFORD ANALYSIS","display_name":"PROPERTIES OF QUASI-CAUCHY INTEGRAL OF HYPERMONGENIC FUNCTION IN REAL CLIFFORD ANALYSIS","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2371017677","mag":"2371017677"},"language":"en","primary_location":{"id":"mag:2371017677","doi":null,"is_oa":false,"landing_page_url":"http://en.cnki.com.cn/Article_en/CJFDTOTAL-SXZZ200805022.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764668616","display_name":"Journal of Mathematics","issn_l":"2314-4629","issn":["2314-4629","2314-4785"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Mathematics","raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5101871945","display_name":"Zhenji Wang","orcid":"https://orcid.org/0000-0002-5189-4484","observed_orcids":["https://orcid.org/0000-0002-5189-4484"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zhenji Wang","raw_affiliation_strings":["School of Math"],"raw_orcid":"https://orcid.org/0000-0002-5189-4484","affiliations":[{"raw_affiliation_string":"School of Math","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5101871945"],"corresponding_institution_ids":[],"apc_list":{"value":2160,"currency":"USD","value_usd":2160},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9994999766349792,"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9994999766349792,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.0,"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/plemelj-formula","display_name":"Plemelj formula","score":0.902999997138977},{"id":"https://openalex.org/keywords/hyperspherical-coordinates","display_name":"hyperspherical coordinates","score":0.8029999732971191},{"id":"https://openalex.org/keywords/cauchy-type-integrals","display_name":"Cauchy-type integrals","score":0.7070000171661377}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9156749248504639},{"id":"https://openalex.org/C177547823","wikidata":"https://www.wikidata.org/wiki/Q5133083","display_name":"Clifford analysis","level":3,"score":0.8680514097213745},{"id":"https://openalex.org/C82006148","wikidata":"https://www.wikidata.org/wiki/Q913764","display_name":"Cauchy's integral formula","level":4,"score":0.6961677074432373},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.6730607151985168},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.499908447265625},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.49890732765197754},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4938564896583557},{"id":"https://openalex.org/C61039578","wikidata":"https://www.wikidata.org/wiki/Q604279","display_name":"Dirac (video compression format)","level":3,"score":0.4596947729587555},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43636777997016907},{"id":"https://openalex.org/C189658257","wikidata":"https://www.wikidata.org/wiki/Q834025","display_name":"Cauchy's integral theorem","level":5,"score":0.4337376356124878},{"id":"https://openalex.org/C153635880","wikidata":"https://www.wikidata.org/wiki/Q1412436","display_name":"Cauchy problem","level":3,"score":0.33904266357421875},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.3371274471282959},{"id":"https://openalex.org/C158650840","wikidata":"https://www.wikidata.org/wiki/Q907439","display_name":"Dirac operator","level":2,"score":0.15031638741493225},{"id":"https://openalex.org/C185544564","wikidata":"https://www.wikidata.org/wiki/Q81197","display_name":"Nuclear physics","level":1,"score":0.0},{"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/C186453547","wikidata":"https://www.wikidata.org/wiki/Q2126","display_name":"Neutrino","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2371017677","doi":null,"is_oa":false,"landing_page_url":"http://en.cnki.com.cn/Article_en/CJFDTOTAL-SXZZ200805022.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764668616","display_name":"Journal of Mathematics","issn_l":"2314-4629","issn":["2314-4629","2314-4785"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Mathematics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2048195527","https://openalex.org/W1990197602","https://openalex.org/W2110659352","https://openalex.org/W2057445533","https://openalex.org/W2370947858","https://openalex.org/W2384052865","https://openalex.org/W2240311773","https://openalex.org/W2094594113","https://openalex.org/W2239617092","https://openalex.org/W4413919649"],"abstract_inverted_index":{"In":[0],"this":[1,25],"paper,":[2],"we":[3],"study":[4],"the":[5,8,43],"solutions":[6],"of":[7,30,48,52],"Dirac-Hodege":[9],"equation,":[10],"which":[11],"are":[12],"called":[13],"hypermonogenic":[14],"functions.":[15,54],"By":[16],"using":[17],"hyperspherical":[18],"coordinate":[19],"tranformation":[20],"and":[21,37,46],"estimate":[22],"value":[23],"method,":[24],"paper":[26],"develops":[27],"basic":[28],"properties":[29,45],"quasi-Cauchy":[31],"type":[32,50],"integrals,":[33],"get":[34],"Plemelj":[35],"formula":[36,47],"Borel-Pompeiu":[38],"formula.":[39],"These":[40],"results":[41],"extend":[42],"similar":[44],"Cauchy":[49],"integrals":[51],"regular":[53]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2016-06-24T00:00:00"}