{"id":"https://openalex.org/W3169909704","doi":"https://doi.org/10.3390/sym13061035","title":"Properties of Certain Subclass of Meromorphic Multivalent Functions Associated with q-Difference Operator","display_name":"Properties of Certain Subclass of Meromorphic Multivalent Functions Associated with q-Difference Operator","publication_year":2021,"publication_date":"2021-06-08","ids":{"openalex":"https://openalex.org/W3169909704","doi":"https://doi.org/10.3390/sym13061035","mag":"3169909704"},"language":"en","primary_location":{"id":"doi:10.3390/sym13061035","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13061035","pdf_url":"https://www.mdpi.com/2073-8994/13/6/1035/pdf?version=1623288546","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/13/6/1035/pdf?version=1623288546","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083877841","display_name":"Cai-Mei Yan","orcid":null},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cai-Mei Yan","raw_affiliation_strings":["Information Engineering College, Yangzhou University, Yangzhou 225002, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Engineering College, Yangzhou University, Yangzhou 225002, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077134327","display_name":"Rekha Srivastava","orcid":"https://orcid.org/0000-0001-7581-615X"},"institutions":[{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Rekha Srivastava","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada"],"raw_orcid":"https://orcid.org/0000-0001-7581-615X","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada","institution_ids":["https://openalex.org/I212119943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100654050","display_name":"Jin-Lin Liu","orcid":"https://orcid.org/0000-0001-7963-2470"},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jin-Lin Liu","raw_affiliation_strings":["Department of Mathematics, Yangzhou University, Yangzhou 225002, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yangzhou University, Yangzhou 225002, China","institution_ids":["https://openalex.org/I78978612"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5077134327"],"corresponding_institution_ids":["https://openalex.org/I212119943"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.2668,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.7862814,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"13","issue":"6","first_page":"1035","last_page":"1035"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9998999834060669,"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/T11822","display_name":"Analytic and geometric function theory","score":0.9998999834060669,"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":0.9467999935150146,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9068999886512756,"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/subclass","display_name":"Subclass","score":0.9275538325309753},{"id":"https://openalex.org/keywords/meromorphic-function","display_name":"Meromorphic function","score":0.9269874095916748},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.7609044313430786},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.748809814453125},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.7056574821472168},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5960761308670044},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.5820498466491699},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5272409319877625},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.49583443999290466},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38530462980270386},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3675885796546936},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06068474054336548}],"concepts":[{"id":"https://openalex.org/C2776194381","wikidata":"https://www.wikidata.org/wiki/Q3965271","display_name":"Subclass","level":3,"score":0.9275538325309753},{"id":"https://openalex.org/C190333341","wikidata":"https://www.wikidata.org/wiki/Q217616","display_name":"Meromorphic function","level":2,"score":0.9269874095916748},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7609044313430786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.748809814453125},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.7056574821472168},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5960761308670044},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.5820498466491699},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5272409319877625},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49583443999290466},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38530462980270386},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3675885796546936},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06068474054336548},{"id":"https://openalex.org/C203014093","wikidata":"https://www.wikidata.org/wiki/Q101929","display_name":"Immunology","level":1,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C159654299","wikidata":"https://www.wikidata.org/wiki/Q79460","display_name":"Antibody","level":2,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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":4,"locations":[{"id":"doi:10.3390/sym13061035","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13061035","pdf_url":"https://www.mdpi.com/2073-8994/13/6/1035/pdf?version=1623288546","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:b59303a0c397402188a1da712bc0dacb","is_oa":true,"landing_page_url":"https://doaj.org/article/b59303a0c397402188a1da712bc0dacb","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 13, Iss 6, p 1035 (2021)","raw_type":"article"},{"id":"pmh:oai:dspace.library.uvic.ca:1828/13046","is_oa":false,"landing_page_url":"http://hdl.handle.net/1828/13046","pdf_url":null,"source":{"id":"https://openalex.org/S4306401509","display_name":"UVic\u2019s Research and Learning Repository (University of Victoria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I212119943","host_organization_name":"University of Victoria","host_organization_lineage":["https://openalex.org/I212119943"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:mdpi.com:/2073-8994/13/6/1035/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym13061035","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym13061035","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13061035","pdf_url":"https://www.mdpi.com/2073-8994/13/6/1035/pdf?version=1623288546","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4099999964237213}],"awards":[{"id":"https://openalex.org/G7054070868","display_name":null,"funder_award_id":"11571299","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3169909704.pdf","grobid_xml":"https://content.openalex.org/works/W3169909704.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1965556558","https://openalex.org/W2321807852","https://openalex.org/W2512190974","https://openalex.org/W2515112238","https://openalex.org/W2947740413","https://openalex.org/W2960854251","https://openalex.org/W2963397829","https://openalex.org/W3001106890","https://openalex.org/W3099131094","https://openalex.org/W3119030641","https://openalex.org/W3126359169","https://openalex.org/W3128126701","https://openalex.org/W6789585008"],"related_works":["https://openalex.org/W2386952195","https://openalex.org/W2085521618","https://openalex.org/W3135151721","https://openalex.org/W137814303","https://openalex.org/W2017150785","https://openalex.org/W3027879247","https://openalex.org/W4398758929","https://openalex.org/W257189624","https://openalex.org/W2393350255","https://openalex.org/W4390176194"],"abstract_inverted_index":{"A":[0],"new":[1,23],"subclass":[2],"\u03a3p,q(\u03b1,A,B)":[3],"of":[4,12,18,38],"meromorphic":[5],"multivalent":[6],"functions":[7,20],"is":[8],"defined":[9],"by":[10],"means":[11],"a":[13],"q-difference":[14],"operator.":[15],"Some":[16],"properties":[17],"the":[19],"in":[21],"this":[22],"subclass,":[24],"such":[25],"as":[26],"sufficient":[27],"and":[28,34,40,44],"necessary":[29],"conditions,":[30],"coefficient":[31],"estimates,":[32],"growth":[33],"distortion":[35],"theorems,":[36,46],"radius":[37],"starlikeness":[39],"convexity,":[41],"partial":[42],"sums":[43],"closure":[45],"are":[47],"investigated.":[48]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}