{"id":"https://openalex.org/W2768140409","doi":"https://doi.org/10.1155/2017/4015268","title":"Convolutions of Harmonic Functions with Certain Dilatations","display_name":"Convolutions of Harmonic Functions with Certain Dilatations","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2768140409","doi":"https://doi.org/10.1155/2017/4015268","mag":"2768140409"},"language":"en","primary_location":{"id":"doi:10.1155/2017/4015268","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2017/4015268","pdf_url":"http://downloads.hindawi.com/journals/ijmms/2017/4015268.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://downloads.hindawi.com/journals/ijmms/2017/4015268.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051057235","display_name":"Om P. Ahuja","orcid":"https://orcid.org/0000-0003-0701-6390"},"institutions":[{"id":"https://openalex.org/I149910238","display_name":"Kent State University","ror":"https://ror.org/049pfb863","country_code":"US","type":"education","lineage":["https://openalex.org/I149910238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Om P. Ahuja","raw_affiliation_strings":["Mathematical Sciences, Kent State University, Burton, OH 44021-9500, USA"],"raw_orcid":"https://orcid.org/0000-0003-0701-6390","affiliations":[{"raw_affiliation_string":"Mathematical Sciences, Kent State University, Burton, OH 44021-9500, USA","institution_ids":["https://openalex.org/I149910238"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068794336","display_name":"Jay M. Jahangiri","orcid":"https://orcid.org/0000-0002-5231-3530"},"institutions":[{"id":"https://openalex.org/I149910238","display_name":"Kent State University","ror":"https://ror.org/049pfb863","country_code":"US","type":"education","lineage":["https://openalex.org/I149910238"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jay M. Jahangiri","raw_affiliation_strings":["Mathematical Sciences, Kent State University, Burton, OH 44021-9500, USA"],"raw_orcid":"https://orcid.org/0000-0002-5231-3530","affiliations":[{"raw_affiliation_string":"Mathematical Sciences, Kent State University, Burton, OH 44021-9500, USA","institution_ids":["https://openalex.org/I149910238"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5068794336"],"corresponding_institution_ids":["https://openalex.org/I149910238"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.4238,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6244651,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2017","issue":null,"first_page":"1","last_page":"4"},"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9743000268936157,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9714999794960022,"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/mathematics","display_name":"Mathematics","score":0.8711229562759399},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.8118296265602112},{"id":"https://openalex.org/keywords/harmonic-function","display_name":"Harmonic function","score":0.7475943565368652},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.7425498962402344},{"id":"https://openalex.org/keywords/unit-disk","display_name":"Unit disk","score":0.7232663631439209},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.49982786178588867},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4531552791595459},{"id":"https://openalex.org/keywords/analytic-function","display_name":"Analytic function","score":0.41623902320861816},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3434871435165405},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09553900361061096},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.0752684473991394},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06017032265663147},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.04819747805595398}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8711229562759399},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.8118296265602112},{"id":"https://openalex.org/C627467","wikidata":"https://www.wikidata.org/wiki/Q599027","display_name":"Harmonic function","level":2,"score":0.7475943565368652},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.7425498962402344},{"id":"https://openalex.org/C47177299","wikidata":"https://www.wikidata.org/wiki/Q2390323","display_name":"Unit disk","level":2,"score":0.7232663631439209},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.49982786178588867},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4531552791595459},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.41623902320861816},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3434871435165405},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09553900361061096},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0752684473991394},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06017032265663147},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.04819747805595398},{"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/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2017/4015268","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2017/4015268","pdf_url":"http://downloads.hindawi.com/journals/ijmms/2017/4015268.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:4015268","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2017/4015268.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:10cafbfce5a44f5cb4247c5109145ad4","is_oa":true,"landing_page_url":"https://doaj.org/article/10cafbfce5a44f5cb4247c5109145ad4","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":"International Journal of Mathematics and Mathematical Sciences, Vol 2017 (2017)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2017/4015268","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2017/4015268","pdf_url":"http://downloads.hindawi.com/journals/ijmms/2017/4015268.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2768140409.pdf","grobid_xml":"https://content.openalex.org/works/W2768140409.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W1984161020","https://openalex.org/W1988126813","https://openalex.org/W2002160628","https://openalex.org/W2003151444","https://openalex.org/W2037289103","https://openalex.org/W2058120896","https://openalex.org/W2084822343","https://openalex.org/W2090652187"],"related_works":["https://openalex.org/W2086918857","https://openalex.org/W1497735364","https://openalex.org/W3097857285","https://openalex.org/W1495823515","https://openalex.org/W3016844284","https://openalex.org/W4368406995","https://openalex.org/W2965886745","https://openalex.org/W2560773258","https://openalex.org/W4387423616","https://openalex.org/W745226657"],"abstract_inverted_index":{"The":[0],"convolution":[1,24],"of":[2,25],"harmonic":[3,27,36],"functions,":[4],"unlike":[5],"the":[6,23,38],"analytic":[7],"case,":[8],"proved":[9],"to":[10,29],"be":[11,30],"very":[12],"challenging.":[13],"In":[14],"this":[15],"paper,":[16],"we":[17],"introduce":[18],"dilatation":[19],"conditions":[20],"that":[21],"guarantee":[22],"two":[26],"functions":[28],"locally":[31],"one-to-one,":[32],"sense-preserving,":[33],"and":[34],"close-to-convex":[35],"in":[37],"unit":[39],"disk.":[40]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}