Publication Information

{'id': 'https://openalex.org/W2329349280', 'doi': 'https://doi.org/10.1080/00029890.1980.11994944', 'title': 'On a Hyperanalytic Geometry for Complex Functions', 'display_name': 'On a Hyperanalytic Geometry for Complex Functions', 'publication_year': 1980, 'publication_date': '1980-01-01', 'ids': {'openalex': 'https://openalex.org/W2329349280', 'doi': 'https://doi.org/10.1080/00029890.1980.11994944', 'mag': '2329349280'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1080/00029890.1980.11994944', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S156280010', 'display_name': 'American Mathematical Monthly', 'issn_l': '0002-9890', 'issn': ['0002-9890', '1930-0972'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310320547', 'host_organization_name': 'Taylor & Francis', 'host_organization_lineage': ['https://openalex.org/P4310320547'], 'host_organization_lineage_names': ['Taylor & Francis'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5052571548', 'display_name': 'Malcolm Murrill', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I184840846', 'display_name': 'Virginia Commonwealth University', 'ror': 'https://ror.org/02nkdxk79', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I184840846']}], 'countries': ['US'], 'is_corresponding': True, 'raw_author_name': 'Malcolm Murrill', 'raw_affiliation_strings': ['Department of Mathematical Sciences, Virginia Commonwealth University, Richmond, VA 23284.'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematical Sciences, Virginia Commonwealth University, Richmond, VA 23284.', 'institution_ids': ['https://openalex.org/I184840846']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5052571548'], 'corresponding_institution_ids': ['https://openalex.org/I184840846'], 'apc_list': None, 'apc_paid': None, 'fwci': 0.593, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.246106, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 55, 'max': 64}, 'biblio': {'volume': '87', 'issue': '1', 'first_page': '8', 'last_page': '25'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12504', 'display_name': 'Mathematics and Applications', 'score': 0.9986, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, '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/T12504', 'display_name': 'Mathematics and Applications', 'score': 0.9986, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, '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/T12037', 'display_name': 'Algebraic and Geometric Analysis', 'score': 0.9881, '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/T11673', 'display_name': 'Advanced Topics in Algebra', 'score': 0.972, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, '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/complex-geometry', 'display_name': 'Complex geometry', 'score': 0.82475847}, {'id': 'https://openalex.org/keywords/section', 'display_name': 'Section (typography)', 'score': 0.7332411}, {'id': 'https://openalex.org/keywords/analytic-geometry', 'display_name': 'Analytic geometry', 'score': 0.67945254}, {'id': 'https://openalex.org/keywords/basis', 'display_name': 'Basis (linear algebra)', 'score': 0.50633633}, {'id': 'https://openalex.org/keywords/representation', 'display_name': 'Representation', 'score': 0.50172186}, {'id': 'https://openalex.org/keywords/complex-system', 'display_name': 'Complex system', 'score': 0.4378843}, {'id': 'https://openalex.org/keywords/synthetic-geometry', 'display_name': 'Synthetic geometry', 'score': 0.4322635}], 'concepts': [{'id': 'https://openalex.org/C158843486', 'wikidata': 'https://www.wikidata.org/wiki/Q2137810', 'display_name': 'Complex geometry', 'level': 2, 'score': 0.82475847}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.7653024}, {'id': 'https://openalex.org/C2780129039', 'wikidata': 'https://www.wikidata.org/wiki/Q1931107', 'display_name': 'Section (typography)', 'level': 2, 'score': 0.7332411}, {'id': 'https://openalex.org/C46175816', 'wikidata': 'https://www.wikidata.org/wiki/Q134787', 'display_name': 'Analytic geometry', 'level': 2, 'score': 0.67945254}, {'id': 'https://openalex.org/C12426560', 'wikidata': 'https://www.wikidata.org/wiki/Q189569', 'display_name': 'Basis (linear algebra)', 'level': 2, 'score': 0.50633633}, {'id': 'https://openalex.org/C2776359362', 'wikidata': 'https://www.wikidata.org/wiki/Q2145286', 'display_name': 'Representation (politics)', 'level': 3, 'score': 0.50172186}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.48275656}, {'id': 'https://openalex.org/C9652623', 'wikidata': 'https://www.wikidata.org/wiki/Q190109', 'display_name': 'Field (mathematics)', 'level': 2, 'score': 0.46527785}, {'id': 'https://openalex.org/C47822265', 'wikidata': 'https://www.wikidata.org/wiki/Q854457', 'display_name': 'Complex system', 'level': 2, 'score': 0.4378843}, {'id': 'https://openalex.org/C133347240', 'wikidata': 'https://www.wikidata.org/wiki/Q249148', 'display_name': 'Synthetic geometry', 'level': 4, 'score': 0.4322635}, {'id': 'https://openalex.org/C192939610', 'wikidata': 'https://www.wikidata.org/wiki/Q188444', 'display_name': 'Differential geometry', 'level': 2, 'score': 0.3073085}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.22454292}, {'id': 'https://openalex.org/C185362025', 'wikidata': 'https://www.wikidata.org/wiki/Q177409', 'display_name': 'Projective geometry', 'level': 3, 'score': 0.1924786}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.19010773}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.076800615}, {'id': 'https://openalex.org/C94625758', 'wikidata': 'https://www.wikidata.org/wiki/Q7163', 'display_name': 'Politics', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C17744445', 'wikidata': 'https://www.wikidata.org/wiki/Q36442', 'display_name': 'Political science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199539241', 'wikidata': 'https://www.wikidata.org/wiki/Q7748', 'display_name': 'Law', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C111919701', 'wikidata': 'https://www.wikidata.org/wiki/Q9135', 'display_name': 'Operating system', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1080/00029890.1980.11994944', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S156280010', 'display_name': 'American Mathematical Monthly', 'issn_l': '0002-9890', 'issn': ['0002-9890', '1930-0972'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310320547', 'host_organization_name': 'Taylor & Francis', 'host_organization_lineage': ['https://openalex.org/P4310320547'], 'host_organization_lineage_names': ['Taylor & Francis'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 40, 'referenced_works': ['https://openalex.org/W1523142753', 'https://openalex.org/W1588855410', 'https://openalex.org/W1975470983', 'https://openalex.org/W1977723848', 'https://openalex.org/W2020888625', 'https://openalex.org/W2030415394', 'https://openalex.org/W2055582752', 'https://openalex.org/W2088129327', 'https://openalex.org/W2089544516', 'https://openalex.org/W2312652669', 'https://openalex.org/W2312820409', 'https://openalex.org/W2312976593', 'https://openalex.org/W2317007152', 'https://openalex.org/W2317215646', 'https://openalex.org/W2318839952', 'https://openalex.org/W2319092979', 'https://openalex.org/W2320767380', 'https://openalex.org/W2321191540', 'https://openalex.org/W2324604203', 'https://openalex.org/W2324606921', 'https://openalex.org/W2324681762', 'https://openalex.org/W2324728901', 'https://openalex.org/W2325026022', 'https://openalex.org/W2325132020', 'https://openalex.org/W2325247455', 'https://openalex.org/W2325950035', 'https://openalex.org/W2329389709', 'https://openalex.org/W2330167826', 'https://openalex.org/W2332532566', 'https://openalex.org/W2332993499', 'https://openalex.org/W2795940286', 'https://openalex.org/W2797791750', 'https://openalex.org/W2797888141', 'https://openalex.org/W391077437', 'https://openalex.org/W4210738832', 'https://openalex.org/W4242034129', 'https://openalex.org/W561584563', 'https://openalex.org/W616246486', 'https://openalex.org/W658009741', 'https://openalex.org/W802881001'], 'related_works': ['https://openalex.org/W4388322895', 'https://openalex.org/W4251265153', 'https://openalex.org/W3135103002', 'https://openalex.org/W3038095064', 'https://openalex.org/W2329349280', 'https://openalex.org/W2272680897', 'https://openalex.org/W2147952291', 'https://openalex.org/W2073744707', 'https://openalex.org/W1995385197', 'https://openalex.org/W1489993045'], 'abstract_inverted_index': {'SummaryThis': [0], 'paper': [1], 'deals': [2], 'with': [3, 21], 'certain': [4], 'aspects': [5], 'of': [6, 11, 27, 30, 39, 54, 68], 'complex': [7, 28, 33, 51, 71, 74, 78, 98], 'geometry.': [8, 99], 'Our': [9], 'field': [10], 'study,': [12], 'which': [13], 'we': [14], 'have': [15], 'called': [16], 'hyperanalytic': [17, 52, 88], 'geometry,': [18], 'is': [19, 47, 60, 90], 'concerned': [20], 'two': [22], 'problems:': [23], 'the': [24, 36, 77, 87], 'geometrical': [25], 'representation': [26], 'functions': [29], 'a': [31, 44, 50], 'single': [32], 'variable,': [34], 'and': [35, 76], 'geometric': [37], 'properties': [38], 'these': [40], 'representations.In': [41], 'Section': [42, 63, 85], '1,': [43], 'graphical': [45], 'basis': [46], 'constructed': [48], 'for': [49], 'geometry': [53, 59], 'four': [55], 'dimensions.': [56], 'This': [57], 'analytic': [58], 'used': [61], 'in': [62, 82, 97], '2': [64], 'to': [65, 92], 'obtain': [66], 'graphs': [67], 'some': [69, 94], 'elementary': [70], 'functions.': [72], 'The': [73], 'line': [75], 'circle': [79], 'are': [80], 'examined': [81], 'detail.': [83], 'In': [84], '3,': [86], 'model': [89], 'applied': [91], 'resolve': [93], 'present': [95], 'paradoxes': [96]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2329349280', 'counts_by_year': [], 'updated_date': '2024-12-15T17:38:21.809418', 'created_date': '2016-06-24'}