{"id":"https://openalex.org/W4387343402","doi":"https://doi.org/10.3390/sym15101865","title":"Sharp Coefficient and Hankel Problems Related to a Symmetric Domain","display_name":"Sharp Coefficient and Hankel Problems Related to a Symmetric Domain","publication_year":2023,"publication_date":"2023-10-04","ids":{"openalex":"https://openalex.org/W4387343402","doi":"https://doi.org/10.3390/sym15101865"},"language":"en","primary_location":{"id":"doi:10.3390/sym15101865","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15101865","pdf_url":"https://www.mdpi.com/2073-8994/15/10/1865/pdf?version=1696411045","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/2073-8994/15/10/1865/pdf?version=1696411045","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043565019","display_name":"Huo Tang","orcid":"https://orcid.org/0000-0002-5685-9784"},"institutions":[{"id":"https://openalex.org/I193114190","display_name":"Chifeng University","ror":"https://ror.org/05wr48765","country_code":"CN","type":"education","lineage":["https://openalex.org/I193114190"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Huo Tang","raw_affiliation_strings":["School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China","institution_ids":["https://openalex.org/I193114190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035525892","display_name":"Adeel Ahmad","orcid":"https://orcid.org/0000-0001-8191-5293"},"institutions":[{"id":"https://openalex.org/I263208278","display_name":"Hazara University","ror":"https://ror.org/018y22094","country_code":"PK","type":"education","lineage":["https://openalex.org/I263208278"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Adeel Ahmad","raw_affiliation_strings":["Department of Mathematics and Statistics, Hazara University Mansehra, Mansehra 21120, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Hazara University Mansehra, Mansehra 21120, Pakistan","institution_ids":["https://openalex.org/I263208278"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077557929","display_name":"Akhter Rasheed","orcid":"https://orcid.org/0000-0003-3810-5214"},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]},{"id":"https://openalex.org/I3131573596","display_name":"Abbottabad University of Science and Technology","ror":"https://ror.org/0549hdw45","country_code":"PK","type":"education","lineage":["https://openalex.org/I3131573596"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Akhter Rasheed","raw_affiliation_strings":["Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan","institution_ids":["https://openalex.org/I3131573596","https://openalex.org/I16076960"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101991417","display_name":"Asad Ali","orcid":"https://orcid.org/0000-0001-9784-3378"},"institutions":[{"id":"https://openalex.org/I263208278","display_name":"Hazara University","ror":"https://ror.org/018y22094","country_code":"PK","type":"education","lineage":["https://openalex.org/I263208278"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Asad Ali","raw_affiliation_strings":["Department of Mathematics and Statistics, Hazara University Mansehra, Mansehra 21120, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Hazara University Mansehra, Mansehra 21120, Pakistan","institution_ids":["https://openalex.org/I263208278"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045073924","display_name":"Saqib Hussain","orcid":"https://orcid.org/0000-0002-8174-8795"},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]},{"id":"https://openalex.org/I3131573596","display_name":"Abbottabad University of Science and Technology","ror":"https://ror.org/0549hdw45","country_code":"PK","type":"education","lineage":["https://openalex.org/I3131573596"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Saqib Hussain","raw_affiliation_strings":["Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan","institution_ids":["https://openalex.org/I3131573596","https://openalex.org/I16076960"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087855158","display_name":"Saima Noor","orcid":"https://orcid.org/0000-0002-9038-1921"},"institutions":[{"id":"https://openalex.org/I4626487","display_name":"King Faisal University","ror":"https://ror.org/00dn43547","country_code":"SA","type":"education","lineage":["https://openalex.org/I4626487"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Saima Noor","raw_affiliation_strings":["Department of Basic Sciences, Preparatory Year Deanship, King Faisal University, Al Ahsa 31982, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-9038-1921","affiliations":[{"raw_affiliation_string":"Department of Basic Sciences, Preparatory Year Deanship, King Faisal University, Al Ahsa 31982, Saudi Arabia","institution_ids":["https://openalex.org/I4626487"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5043565019","https://openalex.org/A5045073924"],"corresponding_institution_ids":["https://openalex.org/I16076960","https://openalex.org/I193114190","https://openalex.org/I3131573596"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.0631,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.7565426,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"15","issue":"10","first_page":"1865","last_page":"1865"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9998000264167786,"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":0.9998000264167786,"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/T12613","display_name":"X-ray Diffraction in Crystallography","score":0.9679999947547913,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14303","display_name":"Polymer Synthesis and Characterization","score":0.9200000166893005,"subfield":{"id":"https://openalex.org/subfields/2507","display_name":"Polymers and Plastics"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.7621879577636719},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.680488109588623},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.6229567527770996},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6042479276657104},{"id":"https://openalex.org/keywords/subordination","display_name":"Subordination (linguistics)","score":0.593305766582489},{"id":"https://openalex.org/keywords/hankel-transform","display_name":"Hankel transform","score":0.5824145078659058},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5591252446174622},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5010128021240234},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4970000088214874},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45691922307014465},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40182948112487793},{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.38600894808769226},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3498515486717224},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1399995982646942}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7621879577636719},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.680488109588623},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.6229567527770996},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6042479276657104},{"id":"https://openalex.org/C2777406531","wikidata":"https://www.wikidata.org/wiki/Q2031017","display_name":"Subordination (linguistics)","level":2,"score":0.593305766582489},{"id":"https://openalex.org/C57640460","wikidata":"https://www.wikidata.org/wiki/Q155208","display_name":"Hankel transform","level":3,"score":0.5824145078659058},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5591252446174622},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5010128021240234},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4970000088214874},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45691922307014465},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40182948112487793},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.38600894808769226},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3498515486717224},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1399995982646942},{"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym15101865","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15101865","pdf_url":"https://www.mdpi.com/2073-8994/15/10/1865/pdf?version=1696411045","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:10213481d43446f483f213b15c76107c","is_oa":false,"landing_page_url":"https://doaj.org/article/10213481d43446f483f213b15c76107c","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 15, Iss 10, p 1865 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym15101865","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15101865","pdf_url":"https://www.mdpi.com/2073-8994/15/10/1865/pdf?version=1696411045","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":[{"score":0.6200000047683716,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320331156","display_name":"King Faisal University","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4387343402.pdf"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W1522952288","https://openalex.org/W1526767009","https://openalex.org/W1597786665","https://openalex.org/W1967333416","https://openalex.org/W2010134463","https://openalex.org/W2099737046","https://openalex.org/W2168469504","https://openalex.org/W2549100039","https://openalex.org/W2564504397","https://openalex.org/W2795203186","https://openalex.org/W2896646837","https://openalex.org/W2941087316","https://openalex.org/W2952400686","https://openalex.org/W2964239686","https://openalex.org/W2994829559","https://openalex.org/W3021161894","https://openalex.org/W3041142264","https://openalex.org/W3087444324","https://openalex.org/W3119381024","https://openalex.org/W3174326033","https://openalex.org/W3200027535","https://openalex.org/W4236730135","https://openalex.org/W4281628039","https://openalex.org/W4294864928","https://openalex.org/W4306764883","https://openalex.org/W4312526699","https://openalex.org/W4366547661","https://openalex.org/W6631479074","https://openalex.org/W6635922665","https://openalex.org/W6788047903","https://openalex.org/W6801902216","https://openalex.org/W6804616711","https://openalex.org/W6818481770","https://openalex.org/W6842574845"],"related_works":["https://openalex.org/W4299703525","https://openalex.org/W2948322610","https://openalex.org/W3010541578","https://openalex.org/W4286246829","https://openalex.org/W1994878099","https://openalex.org/W4248353629","https://openalex.org/W1524271899","https://openalex.org/W4389193139","https://openalex.org/W1525262969","https://openalex.org/W2130290910"],"abstract_inverted_index":{"In":[0],"the":[1,6,27,32,37,42,54,59,70,75],"current":[2],"article,":[3],"we":[4,35,52],"utilize":[5],"concept":[7],"of":[8,15,44],"subordination":[9],"to":[10,74],"establish":[11],"a":[12,20],"new":[13],"subclass":[14],"analytic":[16],"functions":[17,71],"associated":[18],"with":[19],"bounded":[21],"domain":[22],"that":[23],"is":[24],"symmetric":[25],"about":[26],"real":[28],"axis.":[29],"By":[30],"applying":[31],"convolution":[33],"technique,":[34],"derive":[36],"necessary":[38],"and":[39,64],"sufficient":[40],"condition,":[41],"radius":[43],"convexity":[45],"for":[46,58,69],"this":[47],"recently":[48],"introduced":[49],"class.":[50,78],"Furthermore,":[51],"prove":[53],"sharp":[55],"upper":[56],"bounds":[57],"second-order":[60],"Hankel":[61,66],"determinants":[62],"|H2,1\u03be|,|H2,2\u03be|":[63],"third-order":[65],"determinant":[67],"|H3,1\u03be|":[68],"\u03be":[72],"belonging":[73],"newly":[76],"defined":[77]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}