{"id":"https://openalex.org/W4324056876","doi":"https://doi.org/10.3390/axioms12030295","title":"Some New Sufficient Conditions on p-Valency for Certain Analytic Functions","display_name":"Some New Sufficient Conditions on p-Valency for Certain Analytic Functions","publication_year":2023,"publication_date":"2023-03-13","ids":{"openalex":"https://openalex.org/W4324056876","doi":"https://doi.org/10.3390/axioms12030295"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12030295","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/axioms12030295","pdf_url":"https://www.mdpi.com/2075-1680/12/3/295/pdf?version=1678699212","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/12/3/295/pdf?version=1678699212","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039315882","display_name":"Lei Shi","orcid":"https://orcid.org/0000-0003-3079-9944"},"institutions":[{"id":"https://openalex.org/I4210117382","display_name":"Anyang Normal University","ror":"https://ror.org/02g9nss57","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210117382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Shi","raw_affiliation_strings":["School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, China"],"raw_orcid":"https://orcid.org/0000-0003-3079-9944","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, China","institution_ids":["https://openalex.org/I4210117382"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087585103","display_name":"Muhammad Arif","orcid":"https://orcid.org/0000-0003-1484-7643"},"institutions":[{"id":"https://openalex.org/I181063083","display_name":"Abdul Wali Khan University Mardan","ror":"https://ror.org/03b9y4e65","country_code":"PK","type":"education","lineage":["https://openalex.org/I181063083"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Muhammad Arif","raw_affiliation_strings":["Department of Mathematics, Abdul Wali khan University Mardan, Mardan 23200, Pakistan"],"raw_orcid":"https://orcid.org/0000-0003-1484-7643","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Abdul Wali khan University Mardan, Mardan 23200, Pakistan","institution_ids":["https://openalex.org/I181063083"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006150423","display_name":"Syed Zakar Hussain Bukhari","orcid":"https://orcid.org/0000-0002-5243-4252"},"institutions":[{"id":"https://openalex.org/I69716792","display_name":"Mirpur University of Science and Technology","ror":"https://ror.org/04qjkhc08","country_code":"PK","type":"education","lineage":["https://openalex.org/I69716792"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Syed Zakar Hussain Bukhari","raw_affiliation_strings":["Department of Mathematics, Mirpur University of Science and Technology, Mirpur 10250, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-5243-4252","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Mirpur University of Science and Technology, Mirpur 10250, Pakistan","institution_ids":["https://openalex.org/I69716792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084276619","display_name":"Malik Ali Raza","orcid":"https://orcid.org/0000-0003-2526-7353"},"institutions":[{"id":"https://openalex.org/I69716792","display_name":"Mirpur University of Science and Technology","ror":"https://ror.org/04qjkhc08","country_code":"PK","type":"education","lineage":["https://openalex.org/I69716792"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Malik Ali Raza","raw_affiliation_strings":["Department of Mathematics, Mirpur University of Science and Technology, Mirpur 10250, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Mirpur University of Science and Technology, Mirpur 10250, Pakistan","institution_ids":["https://openalex.org/I69716792"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5087585103"],"corresponding_institution_ids":["https://openalex.org/I181063083"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.0762,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.71521012,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"12","issue":"3","first_page":"295","last_page":"295"},"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":0.9855999946594238,"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/T12812","display_name":"Meromorphic and Entire Functions","score":0.9555000066757202,"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/valency","display_name":"Valency","score":0.948332667350769},{"id":"https://openalex.org/keywords/analytic-function","display_name":"Analytic function","score":0.6503260731697083},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5139345526695251},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.479788601398468},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3583059310913086},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19775819778442383},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.159211665391922},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.1050155758857727},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.08464270830154419}],"concepts":[{"id":"https://openalex.org/C139007053","wikidata":"https://www.wikidata.org/wiki/Q1412952","display_name":"Valency","level":2,"score":0.948332667350769},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.6503260731697083},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5139345526695251},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.479788601398468},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3583059310913086},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19775819778442383},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.159211665391922},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.1050155758857727},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.08464270830154419}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms12030295","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/axioms12030295","pdf_url":"https://www.mdpi.com/2075-1680/12/3/295/pdf?version=1678699212","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:f947fcc1e08647059d3ab709a39f970b","is_oa":true,"landing_page_url":"https://doaj.org/article/f947fcc1e08647059d3ab709a39f970b","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":"Axioms, Vol 12, Iss 3, p 295 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/12/3/295/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms12030295","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":"Axioms; Volume 12; Issue 3; Pages: 295","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms12030295","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/axioms12030295","pdf_url":"https://www.mdpi.com/2075-1680/12/3/295/pdf?version=1678699212","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4324056876.pdf"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1726170169","https://openalex.org/W1734590291","https://openalex.org/W1930826604","https://openalex.org/W1964102380","https://openalex.org/W1965997350","https://openalex.org/W1989582653","https://openalex.org/W2004600084","https://openalex.org/W2053161313","https://openalex.org/W2069105067","https://openalex.org/W2135733907","https://openalex.org/W2165310147","https://openalex.org/W2333128573","https://openalex.org/W2796467998","https://openalex.org/W2898727284","https://openalex.org/W2899284551","https://openalex.org/W2971167745","https://openalex.org/W2973005167","https://openalex.org/W3010023045","https://openalex.org/W3201710276","https://openalex.org/W3209136468","https://openalex.org/W4225496148","https://openalex.org/W4283466873","https://openalex.org/W4292883992","https://openalex.org/W4296632572","https://openalex.org/W4297347862","https://openalex.org/W4308335832","https://openalex.org/W4313260053","https://openalex.org/W4319600450","https://openalex.org/W6610562362","https://openalex.org/W6637808311","https://openalex.org/W6651303105"],"related_works":["https://openalex.org/W2941934201","https://openalex.org/W2030133119","https://openalex.org/W4249580765","https://openalex.org/W2096753949","https://openalex.org/W1985218657","https://openalex.org/W2124275718","https://openalex.org/W1557945163","https://openalex.org/W2742285599","https://openalex.org/W2064847051","https://openalex.org/W2005272569"],"abstract_inverted_index":{"In":[0],"the":[1,13,31],"present":[2],"paper,":[3],"we":[4],"develop":[5],"some":[6,18],"implications":[7],"leading":[8],"to":[9,23],"Carath\u00e9odory":[10],"functions":[11,22],"in":[12],"open":[14],"disk":[15],"and":[16,35],"provide":[17],"new":[19],"conditions":[20],"for":[21],"be":[24],"p-valent":[25],"functions.":[26],"This":[27],"work":[28],"also":[29],"extends":[30],"findings":[32],"of":[33],"Nunokawa":[34],"others.":[36]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2023-03-14T00:00:00"}
