Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W1996436389', 'doi': 'https://doi.org/10.5831/hmj.2013.35.4.809', 'title': 'STRUCTURES OF HYPERHOLOMORPHIC FUNCTIONS ON DUAL QUATERNION NUMBERS', 'display_name': 'STRUCTURES OF HYPERHOLOMORPHIC FUNCTIONS ON DUAL QUATERNION NUMBERS', 'publication_year': 2013, 'publication_date': '2013-12-25', 'ids': {'openalex': 'https://openalex.org/W1996436389', 'doi': 'https://doi.org/10.5831/hmj.2013.35.4.809', 'mag': '1996436389'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.5831/hmj.2013.35.4.809', 'pdf_url': 'https://koreascience.kr:443/article/JAKO201301369230864.pdf', 'source': {'id': 'https://openalex.org/S4210202890', 'display_name': 'Honam Mathematical Journal', 'issn_l': '1225-293X', 'issn': ['1225-293X', '2288-6176'], 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://koreascience.kr:443/article/JAKO201301369230864.pdf', 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5034422839', 'display_name': 'Hyun Sook Jung', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I4210117358', 'display_name': 'Busan Medical Center', 'ror': 'https://ror.org/02csf4f34', 'country_code': 'KR', 'type': 'healthcare', 'lineage': ['https://openalex.org/I4210117358']}, {'id': 'https://openalex.org/I4921948', 'display_name': 'Pusan National University', 'ror': 'https://ror.org/01an57a31', 'country_code': 'KR', 'type': 'education', 'lineage': ['https://openalex.org/I4921948']}], 'countries': ['KR'], 'is_corresponding': False, 'raw_author_name': 'Hyun Sook Jung', 'raw_affiliation_strings': ['Busan 609-735, Korea.', 'Department of Mathematics, Pusan National University, Busan 609-735, Korea.'], 'affiliations': [{'raw_affiliation_string': 'Busan 609-735, Korea.', 'institution_ids': ['https://openalex.org/I4210117358']}, {'raw_affiliation_string': 'Department of Mathematics, Pusan National University, Busan 609-735, Korea.', 'institution_ids': ['https://openalex.org/I4921948']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5064931527', 'display_name': 'Su Jin Ha', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I4210117358', 'display_name': 'Busan Medical Center', 'ror': 'https://ror.org/02csf4f34', 'country_code': 'KR', 'type': 'healthcare', 'lineage': ['https://openalex.org/I4210117358']}, {'id': 'https://openalex.org/I4921948', 'display_name': 'Pusan National University', 'ror': 'https://ror.org/01an57a31', 'country_code': 'KR', 'type': 'education', 'lineage': ['https://openalex.org/I4921948']}], 'countries': ['KR'], 'is_corresponding': False, 'raw_author_name': 'Su Jin Ha', 'raw_affiliation_strings': ['Busan 609-735, Korea.', 'Department of Mathematics, Pusan National University, Busan 609-735, Korea.'], 'affiliations': [{'raw_affiliation_string': 'Busan 609-735, Korea.', 'institution_ids': ['https://openalex.org/I4210117358']}, {'raw_affiliation_string': 'Department of Mathematics, Pusan National University, Busan 609-735, Korea.', 'institution_ids': ['https://openalex.org/I4921948']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5040025378', 'display_name': 'Kwang Ho Lee', 'orcid': 'https://orcid.org/0000-0001-8366-0669'}, 'institutions': [{'id': 'https://openalex.org/I4210117358', 'display_name': 'Busan Medical Center', 'ror': 'https://ror.org/02csf4f34', 'country_code': 'KR', 'type': 'healthcare', 'lineage': ['https://openalex.org/I4210117358']}, {'id': 'https://openalex.org/I4921948', 'display_name': 'Pusan National University', 'ror': 'https://ror.org/01an57a31', 'country_code': 'KR', 'type': 'education', 'lineage': ['https://openalex.org/I4921948']}], 'countries': ['KR'], 'is_corresponding': False, 'raw_author_name': 'Kwang Ho Lee', 'raw_affiliation_strings': ['Busan 609-735, Korea.', 'Department of Mathematics, Pusan National University, Busan 609-735, Korea.'], 'affiliations': [{'raw_affiliation_string': 'Busan 609-735, Korea.', 'institution_ids': ['https://openalex.org/I4210117358']}, {'raw_affiliation_string': 'Department of Mathematics, Pusan National University, Busan 609-735, Korea.', 'institution_ids': ['https://openalex.org/I4921948']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5009131561', 'display_name': 'Su Mi Lim', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I4210117358', 'display_name': 'Busan Medical Center', 'ror': 'https://ror.org/02csf4f34', 'country_code': 'KR', 'type': 'healthcare', 'lineage': ['https://openalex.org/I4210117358']}, {'id': 'https://openalex.org/I4921948', 'display_name': 'Pusan National University', 'ror': 'https://ror.org/01an57a31', 'country_code': 'KR', 'type': 'education', 'lineage': ['https://openalex.org/I4921948']}], 'countries': ['KR'], 'is_corresponding': False, 'raw_author_name': 'Su Mi Lim', 'raw_affiliation_strings': ['Busan 609-735, Korea.', 'Department of Mathematics, Pusan National University, Busan 609-735, Korea.'], 'affiliations': [{'raw_affiliation_string': 'Busan 609-735, Korea.', 'institution_ids': ['https://openalex.org/I4210117358']}, {'raw_affiliation_string': 'Department of Mathematics, Pusan National University, Busan 609-735, Korea.', 'institution_ids': ['https://openalex.org/I4921948']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5038315833', 'display_name': 'Kwang Ho Shon', 'orcid': 'https://orcid.org/0000-0002-9962-5435'}, 'institutions': [{'id': 'https://openalex.org/I4210117358', 'display_name': 'Busan Medical Center', 'ror': 'https://ror.org/02csf4f34', 'country_code': 'KR', 'type': 'healthcare', 'lineage': ['https://openalex.org/I4210117358']}, {'id': 'https://openalex.org/I4921948', 'display_name': 'Pusan National University', 'ror': 'https://ror.org/01an57a31', 'country_code': 'KR', 'type': 'education', 'lineage': ['https://openalex.org/I4921948']}], 'countries': ['KR'], 'is_corresponding': False, 'raw_author_name': 'Kwang Ho Shon', 'raw_affiliation_strings': ['Busan 609-735, Korea.', 'Department of Mathematics, Pusan National University, Busan 609-735, Korea.'], 'affiliations': [{'raw_affiliation_string': 'Busan 609-735, Korea.', 'institution_ids': ['https://openalex.org/I4210117358']}, {'raw_affiliation_string': 'Department of Mathematics, Pusan National University, Busan 609-735, Korea.', 'institution_ids': ['https://openalex.org/I4921948']}]}], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 2.534, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 6, 'citation_normalized_percentile': {'value': 0.620165, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 82, 'max': 83}, 'biblio': {'volume': '35', 'issue': '4', 'first_page': '809', 'last_page': '817'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12037', 'display_name': 'Quaternionic Analysis and Applications', 'score': 1.0, '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'}}, 'topics': [{'id': 'https://openalex.org/T12037', 'display_name': 'Quaternionic Analysis and Applications', 'score': 1.0, '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'}}, {'id': 'https://openalex.org/T11210', 'display_name': 'Fractional Fourier Transform Analysis', 'score': 0.997, '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/T10884', 'display_name': 'Complex Analysis and Operator Theory', 'score': 0.9964, '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/dual-quaternion', 'display_name': 'Dual quaternion', 'score': 0.7013596}, {'id': 'https://openalex.org/keywords/holomorphic-functions', 'display_name': 'Holomorphic Functions', 'score': 0.572988}, {'id': 'https://openalex.org/keywords/clifford-analysis', 'display_name': 'Clifford Analysis', 'score': 0.572415}, {'id': 'https://openalex.org/keywords/function-theory', 'display_name': 'Function Theory', 'score': 0.518404}, {'id': 'https://openalex.org/keywords/quaternionic-analysis', 'display_name': 'Quaternionic Analysis', 'score': 0.512134}], 'concepts': [{'id': 'https://openalex.org/C200127275', 'wikidata': 'https://www.wikidata.org/wiki/Q173853', 'display_name': 'Quaternion', 'level': 2, 'score': 0.87415195}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.7537103}, {'id': 'https://openalex.org/C145941777', 'wikidata': 'https://www.wikidata.org/wiki/Q5310237', 'display_name': 'Dual quaternion', 'level': 3, 'score': 0.7013596}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.6284562}, {'id': 'https://openalex.org/C2780980858', 'wikidata': 'https://www.wikidata.org/wiki/Q110022', 'display_name': 'Dual (grammatical number)', 'level': 2, 'score': 0.53921545}, {'id': 'https://openalex.org/C177547823', 'wikidata': 'https://www.wikidata.org/wiki/Q5133083', 'display_name': 'Clifford analysis', 'level': 3, 'score': 0.5220461}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.5144949}, {'id': 'https://openalex.org/C90673727', 'wikidata': 'https://www.wikidata.org/wiki/Q901718', 'display_name': 'Product (mathematics)', 'level': 2, 'score': 0.5076567}, {'id': 'https://openalex.org/C177264268', 'wikidata': 'https://www.wikidata.org/wiki/Q1514741', 'display_name': 'Set (abstract data type)', 'level': 2, 'score': 0.49234307}, {'id': 'https://openalex.org/C49344536', 'wikidata': 'https://www.wikidata.org/wiki/Q726441', 'display_name': 'Cauchy distribution', 'level': 2, 'score': 0.45080346}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.27535936}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.15222707}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.12556922}, {'id': 'https://openalex.org/C158650840', 'wikidata': 'https://www.wikidata.org/wiki/Q907439', 'display_name': 'Dirac operator', 'level': 2, 'score': 0.086372375}, {'id': 'https://openalex.org/C142362112', 'wikidata': 'https://www.wikidata.org/wiki/Q735', 'display_name': 'Art', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C124952713', 'wikidata': 'https://www.wikidata.org/wiki/Q8242', 'display_name': 'Literature', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.5831/hmj.2013.35.4.809', 'pdf_url': 'https://koreascience.kr:443/article/JAKO201301369230864.pdf', 'source': {'id': 'https://openalex.org/S4210202890', 'display_name': 'Honam Mathematical Journal', 'issn_l': '1225-293X', 'issn': ['1225-293X', '2288-6176'], 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.5831/hmj.2013.35.4.809', 'pdf_url': 'https://koreascience.kr:443/article/JAKO201301369230864.pdf', 'source': {'id': 'https://openalex.org/S4210202890', 'display_name': 'Honam Mathematical Journal', 'issn_l': '1225-293X', 'issn': ['1225-293X', '2288-6176'], 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 10, 'referenced_works': ['https://openalex.org/W1972829580', 'https://openalex.org/W2003761984', 'https://openalex.org/W2038570517', 'https://openalex.org/W2303342726', 'https://openalex.org/W2520857799', 'https://openalex.org/W2765221535', 'https://openalex.org/W2945330539', 'https://openalex.org/W2945390075', 'https://openalex.org/W2945640526', 'https://openalex.org/W4234257677'], 'related_works': ['https://openalex.org/W570369945', 'https://openalex.org/W4361860244', 'https://openalex.org/W4321633639', 'https://openalex.org/W3127350447', 'https://openalex.org/W2888751871', 'https://openalex.org/W2523915674', 'https://openalex.org/W2315718763', 'https://openalex.org/W2185573392', 'https://openalex.org/W1979743007', 'https://openalex.org/W102224637'], 'abstract_inverted_index': {'We': [0], 'research': [1], 'properties': [2], 'of': [3, 8, 15, 22], 'a': [4], 'corresponding': [5], 'Cauchy': [6], 'theorem': [7], 'hyperholomorphic': [9], 'functions': [10], 'in': [11, 19], 'an': [12], 'open': [13], 'set': [14], 'product': [16], 'complex': [17, 23], 'spaces,': [18], 'the': [20], 'sense': [21], 'Clifford': [24], 'analysis.': [25]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1996436389', 'counts_by_year': [{'year': 2016, 'cited_by_count': 2}, {'year': 2015, 'cited_by_count': 1}, {'year': 2014, 'cited_by_count': 3}], 'updated_date': '2024-08-14T09:52:39.982839', 'created_date': '2016-06-24'}