The three-arc and three-separated-arc properties of meromorphic functions

Name: Work Video:
Duration: 3 min 30 s
Description: Let Γ be the unit circle and D be the open unit disk in the complex plane, and denote the Riemann sphere by Ω . Suppose that f(z) is a meromorphic function in D , and that ζ ∈ Γ .
F. Bagemihl
{'id': 'https://openalex.org/W1537123799', 'doi': 'https://doi.org/10.1017/s0027763000016093', 'title': 'The three-arc and three-separated-arc properties of meromorphic functions', 'display_name': 'The three-arc and three-separated-arc properties of meromorphic functions', 'publication_year': 1974, 'publication_date': '1974-05-01', 'ids': {'openalex': 'https://openalex.org/W1537123799', 'doi': 'https://doi.org/10.1017/s0027763000016093', 'mag': '1537123799'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1017/s0027763000016093', 'pdf_url': 'https://www.cambridge.org/core/services/aop-cambridge-core/content/view/86A730E50D0851E4EE8BB56ABA27B24F/S0027763000016093a.pdf/div-class-title-the-three-arc-and-three-separated-arc-properties-of-meromorphic-functions-div.pdf', 'source': {'id': 'https://openalex.org/S183800547', 'display_name': 'Nagoya Mathematical Journal', 'issn_l': '0027-7630', 'issn': ['0027-7630', '2152-6842'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310311721', 'host_organization_name': 'Cambridge University Press', 'host_organization_lineage': ['https://openalex.org/P4310311721', 'https://openalex.org/P4310311702'], 'host_organization_lineage_names': ['Cambridge University Press', 'University of Cambridge'], '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://www.cambridge.org/core/services/aop-cambridge-core/content/view/86A730E50D0851E4EE8BB56ABA27B24F/S0027763000016093a.pdf/div-class-title-the-three-arc-and-three-separated-arc-properties-of-meromorphic-functions-div.pdf', 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5044756276', 'display_name': 'F. Bagemihl', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I43579087', 'display_name': 'University of Wisconsin–Milwaukee', 'ror': 'https://ror.org/031q21x57', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I43579087']}], 'countries': ['US'], 'is_corresponding': True, 'raw_author_name': 'Frederick Bagemihl', 'raw_affiliation_strings': ['Univ. of Wisconsin Milwaukee'], 'affiliations': [{'raw_affiliation_string': 'Univ. of Wisconsin Milwaukee', 'institution_ids': ['https://openalex.org/I43579087']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5044756276'], 'corresponding_institution_ids': ['https://openalex.org/I43579087'], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.295118, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 57, 'max': 65}, 'biblio': {'volume': '53', 'issue': None, 'first_page': '137', 'last_page': '140'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12812', 'display_name': 'Meromorphic and Entire Functions', 'score': 0.9998, '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/T12812', 'display_name': 'Meromorphic and Entire Functions', 'score': 0.9998, '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/T11822', 'display_name': 'Analytic and geometric function theory', 'score': 0.9929, '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/T10884', 'display_name': 'Holomorphic and Operator Theory', 'score': 0.9804, '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/riemann-sphere', 'display_name': 'Riemann sphere', 'score': 0.75464106}, {'id': 'https://openalex.org/keywords/unit-disk', 'display_name': 'Unit disk', 'score': 0.63478345}, {'id': 'https://openalex.org/keywords/complex-plane', 'display_name': 'Complex plane', 'score': 0.5465741}, {'id': 'https://openalex.org/keywords/l-function', 'display_name': 'L-function', 'score': 0.44249204}], 'concepts': [{'id': 'https://openalex.org/C190333341', 'wikidata': 'https://www.wikidata.org/wiki/Q217616', 'display_name': 'Meromorphic function', 'level': 2, 'score': 0.9805151}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8501481}, {'id': 'https://openalex.org/C83415579', 'wikidata': 'https://www.wikidata.org/wiki/Q161973', 'display_name': 'Arc (geometry)', 'level': 2, 'score': 0.75656646}, {'id': 'https://openalex.org/C154483964', 'wikidata': 'https://www.wikidata.org/wiki/Q825857', 'display_name': 'Riemann sphere', 'level': 3, 'score': 0.75464106}, {'id': 'https://openalex.org/C47177299', 'wikidata': 'https://www.wikidata.org/wiki/Q2390323', 'display_name': 'Unit disk', 'level': 2, 'score': 0.63478345}, {'id': 'https://openalex.org/C122637931', 'wikidata': 'https://www.wikidata.org/wiki/Q118084', 'display_name': 'Unit (ring theory)', 'level': 2, 'score': 0.566861}, {'id': 'https://openalex.org/C179117685', 'wikidata': 'https://www.wikidata.org/wiki/Q328998', 'display_name': 'Complex plane', 'level': 2, 'score': 0.5465741}, {'id': 'https://openalex.org/C17825722', 'wikidata': 'https://www.wikidata.org/wiki/Q17285', 'display_name': 'Plane (geometry)', 'level': 2, 'score': 0.5047749}, {'id': 'https://openalex.org/C55229022', 'wikidata': 'https://www.wikidata.org/wiki/Q1789063', 'display_name': 'L-function', 'level': 3, 'score': 0.44249204}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.43478727}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.32805735}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.29638612}, {'id': 'https://openalex.org/C145420912', 'wikidata': 'https://www.wikidata.org/wiki/Q853077', 'display_name': 'Mathematics education', 'level': 1, 'score': 0.07655826}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1017/s0027763000016093', 'pdf_url': 'https://www.cambridge.org/core/services/aop-cambridge-core/content/view/86A730E50D0851E4EE8BB56ABA27B24F/S0027763000016093a.pdf/div-class-title-the-three-arc-and-three-separated-arc-properties-of-meromorphic-functions-div.pdf', 'source': {'id': 'https://openalex.org/S183800547', 'display_name': 'Nagoya Mathematical Journal', 'issn_l': '0027-7630', 'issn': ['0027-7630', '2152-6842'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310311721', 'host_organization_name': 'Cambridge University Press', 'host_organization_lineage': ['https://openalex.org/P4310311721', 'https://openalex.org/P4310311702'], 'host_organization_lineage_names': ['Cambridge University Press', 'University of Cambridge'], '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/10.1017/s0027763000016093', 'pdf_url': 'https://www.cambridge.org/core/services/aop-cambridge-core/content/view/86A730E50D0851E4EE8BB56ABA27B24F/S0027763000016093a.pdf/div-class-title-the-three-arc-and-three-separated-arc-properties-of-meromorphic-functions-div.pdf', 'source': {'id': 'https://openalex.org/S183800547', 'display_name': 'Nagoya Mathematical Journal', 'issn_l': '0027-7630', 'issn': ['0027-7630', '2152-6842'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310311721', 'host_organization_name': 'Cambridge University Press', 'host_organization_lineage': ['https://openalex.org/P4310311721', 'https://openalex.org/P4310311702'], 'host_organization_lineage_names': ['Cambridge University Press', 'University of Cambridge'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 6, 'referenced_works': ['https://openalex.org/W1480383517', 'https://openalex.org/W1512170273', 'https://openalex.org/W1736899418', 'https://openalex.org/W2057214356', 'https://openalex.org/W2102249856', 'https://openalex.org/W4205501680'], 'related_works': ['https://openalex.org/W2626466009', 'https://openalex.org/W2556446323', 'https://openalex.org/W2431105115', 'https://openalex.org/W2335472752', 'https://openalex.org/W2292452568', 'https://openalex.org/W2089151345', 'https://openalex.org/W2001762652', 'https://openalex.org/W1588903465', 'https://openalex.org/W1537123799', 'https://openalex.org/W137814303'], 'abstract_inverted_index': {'Let': [0], 'Γ': [1, 39], 'be': [2, 8], 'the': [3, 9, 14, 19], 'unit': [4, 11], 'circle': [5], 'and': [6, 17, 35], 'D': [7, 33], 'open': [10], 'disk': [12], 'in': [13, 32], 'complex': [15], 'plane,': [16], 'denote': [18], 'Riemann': [20], 'sphere': [21], 'by': [22], 'Ω': [23], '.': [24, 40], 'Suppose': [25], 'that': [26, 36], 'f(z)': [27], 'is': [28], 'a': [29], 'meromorphic': [30], 'function': [31], ',': [34], 'ζ': [37], '∈': [38]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1537123799', 'counts_by_year': [], 'updated_date': '2024-12-15T21:05:12.966620', 'created_date': '2016-06-24'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
