{"id":"https://openalex.org/W3134901909","doi":"https://doi.org/10.48550/arxiv.2103.00638","title":"Khavinson conjecture for hyperbolic harmonic functions on the unit ball","display_name":"Khavinson conjecture for hyperbolic harmonic functions on the unit ball","publication_year":2021,"publication_date":"2021-02-28","ids":{"openalex":"https://openalex.org/W3134901909","doi":"https://doi.org/10.48550/arxiv.2103.00638","mag":"3134901909"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2103.00638","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.00638","pdf_url":"https://arxiv.org/pdf/2103.00638","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2103.00638","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029799089","display_name":"Adel Khalfallah","orcid":"https://orcid.org/0000-0003-0014-3370","observed_orcids":["https://orcid.org/0000-0003-0014-3370"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Khalfallah, Adel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005102270","display_name":"Fathi Haggui","orcid":"https://orcid.org/0000-0001-7209-3603","observed_orcids":["https://orcid.org/0000-0001-7209-3603"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Haggui, Fathi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5036322295","display_name":"Miodrag Mateljevi\u0107","orcid":"https://orcid.org/0000-0002-9226-0023","observed_orcids":["https://orcid.org/0000-0002-9226-0023"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mateljevi\u0107, Miodrag","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.4616999924182892,"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":0.4616999924182892,"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":0.36329999566078186,"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":0.01269999984651804,"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/unit-ball","display_name":"unit ball","score":0.9760000109672546},{"id":"https://openalex.org/keywords/harmonic-polynomials","display_name":"harmonic polynomials","score":0.3319999873638153},{"id":"https://openalex.org/keywords/several-complex-variables","display_name":"several complex variables","score":0.3919999897480011}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8993034958839417},{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.8987951874732971},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.7360607385635376},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6319000124931335},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45808613300323486},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.4433000981807709},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43371981382369995},{"id":"https://openalex.org/C33493656","wikidata":"https://www.wikidata.org/wiki/Q2993296","display_name":"Elliott\u2013Halberstam conjecture","level":4,"score":0.4170760214328766},{"id":"https://openalex.org/C128814272","wikidata":"https://www.wikidata.org/wiki/Q837314","display_name":"Collatz conjecture","level":3,"score":0.3867756724357605},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16828086972236633},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.04775652289390564}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2103.00638","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.00638","pdf_url":"https://arxiv.org/pdf/2103.00638","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.2103.00638","doi":"https://doi.org/10.48550/arxiv.2103.00638","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2103.00638","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2103.00638","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.00638","pdf_url":"https://arxiv.org/pdf/2103.00638","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W996086357","https://openalex.org/W1509577866","https://openalex.org/W1512525067","https://openalex.org/W2003115626","https://openalex.org/W2031782378","https://openalex.org/W2083112632","https://openalex.org/W2094948923","https://openalex.org/W2324053001","https://openalex.org/W2346853182","https://openalex.org/W2530432796","https://openalex.org/W2592624290","https://openalex.org/W2922029637","https://openalex.org/W2962969869","https://openalex.org/W3014692360"],"related_works":["https://openalex.org/W4224903550","https://openalex.org/W2972079837","https://openalex.org/W3014692360","https://openalex.org/W2922029637","https://openalex.org/W3176918571","https://openalex.org/W2292537371","https://openalex.org/W3087453731","https://openalex.org/W2238081044","https://openalex.org/W2605467187","https://openalex.org/W2952893691"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"prove":[4],"the":[5,13],"Khavinson":[6],"conjecture":[7,17],"for":[8],"hyperbolic":[9],"harmonic":[10],"functions":[11],"on":[12],"unit":[14],"ball.":[15],"This":[16],"was":[18],"partially":[19],"solved":[20],"in":[21],"\\cite{JKM2020}.":[22]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2021-03-15T00:00:00"}