{"id":"https://openalex.org/W4408529528","doi":"https://doi.org/10.3390/axioms14030216","title":"Entire Functions of Several Variables: Analogs of Wiman\u2019s Theorem","display_name":"Entire Functions of Several Variables: Analogs of Wiman\u2019s Theorem","publication_year":2025,"publication_date":"2025-03-15","ids":{"openalex":"https://openalex.org/W4408529528","doi":"https://doi.org/10.3390/axioms14030216"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14030216","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030216","pdf_url":"https://www.mdpi.com/2075-1680/14/3/216/pdf?version=1742203235","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/2075-1680/14/3/216/pdf?version=1742203235","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055476266","display_name":"\u041e. \u0411. \u0421\u043a\u0430\u0441\u043a\u0456\u0432","orcid":"https://orcid.org/0000-0001-5217-8394"},"institutions":[{"id":"https://openalex.org/I200280692","display_name":"Lviv University","ror":"https://ror.org/01s7y5e82","country_code":"UA","type":"education","lineage":["https://openalex.org/I200280692"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"Oleh Skaskiv","raw_affiliation_strings":["Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, 79000 Lviv, Ukraine"],"affiliations":[{"raw_affiliation_string":"Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, 79000 Lviv, Ukraine","institution_ids":["https://openalex.org/I200280692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044515131","display_name":"Andriy Bandura","orcid":"https://orcid.org/0000-0003-0598-2237"},"institutions":[{"id":"https://openalex.org/I33616363","display_name":"Ivano-Frankivsk National Technical University of Oil and Gas","ror":"https://ror.org/01f1ses45","country_code":"UA","type":"education","lineage":["https://openalex.org/I33616363"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Andriy Bandura","raw_affiliation_strings":["Department of Physics and Mathematics, Ivano-Frankivsk National Technical University of Oil and Gas, 76019 Ivano-Frankivsk, Ukraine"],"affiliations":[{"raw_affiliation_string":"Department of Physics and Mathematics, Ivano-Frankivsk National Technical University of Oil and Gas, 76019 Ivano-Frankivsk, Ukraine","institution_ids":["https://openalex.org/I33616363"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043162506","display_name":"Tetyana Salo","orcid":"https://orcid.org/0000-0001-9469-7459"},"institutions":[{"id":"https://openalex.org/I98435010","display_name":"Lviv Polytechnic National University","ror":"https://ror.org/0542q3127","country_code":"UA","type":"education","lineage":["https://openalex.org/I98435010"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Tetyana Salo","raw_affiliation_strings":["Department of Mathematics, Lviv Polytechnic National University, 79000 Lviv, Ukraine"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Lviv Polytechnic National University, 79000 Lviv, Ukraine","institution_ids":["https://openalex.org/I98435010"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5116661730","display_name":"Sviatoslav Dubei","orcid":null},"institutions":[{"id":"https://openalex.org/I200280692","display_name":"Lviv University","ror":"https://ror.org/01s7y5e82","country_code":"UA","type":"education","lineage":["https://openalex.org/I200280692"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Sviatoslav Dubei","raw_affiliation_strings":["Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, 79000 Lviv, Ukraine"],"affiliations":[{"raw_affiliation_string":"Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, 79000 Lviv, Ukraine","institution_ids":["https://openalex.org/I200280692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5055476266"],"corresponding_institution_ids":["https://openalex.org/I200280692"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08932823,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"3","first_page":"216","last_page":"216"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12812","display_name":"Meromorphic and Entire Functions","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T12812","display_name":"Meromorphic and Entire Functions","score":0.9990000128746033,"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/T12504","display_name":"Mathematics and Applications","score":0.9735999703407288,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9695000052452087,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6426858901977539}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6426858901977539}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14030216","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030216","pdf_url":"https://www.mdpi.com/2075-1680/14/3/216/pdf?version=1742203235","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:8e608b3e36984581b929ec63390bcac4","is_oa":true,"landing_page_url":"https://doaj.org/article/8e608b3e36984581b929ec63390bcac4","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 3, p 216 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14030216","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030216","pdf_url":"https://www.mdpi.com/2075-1680/14/3/216/pdf?version=1742203235","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":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4408529528.pdf"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W135687654","https://openalex.org/W306633196","https://openalex.org/W1868317507","https://openalex.org/W1982605414","https://openalex.org/W1992800139","https://openalex.org/W1994695024","https://openalex.org/W1996250674","https://openalex.org/W2010170980","https://openalex.org/W2014538877","https://openalex.org/W2021379705","https://openalex.org/W2030474942","https://openalex.org/W2053881124","https://openalex.org/W2054238642","https://openalex.org/W2056166135","https://openalex.org/W2069086707","https://openalex.org/W2078779258","https://openalex.org/W2084228043","https://openalex.org/W2087554996","https://openalex.org/W2090682290","https://openalex.org/W2159017928","https://openalex.org/W2310647366","https://openalex.org/W2320269139","https://openalex.org/W2756202093","https://openalex.org/W2762147674","https://openalex.org/W2765214597","https://openalex.org/W2779631123","https://openalex.org/W2796961561","https://openalex.org/W2906200522","https://openalex.org/W2963639841","https://openalex.org/W2988227035","https://openalex.org/W3009946803","https://openalex.org/W3097180683","https://openalex.org/W3136146676","https://openalex.org/W3161404584","https://openalex.org/W3184601522","https://openalex.org/W3196613480","https://openalex.org/W4200476552","https://openalex.org/W4205360028","https://openalex.org/W4230704438","https://openalex.org/W4242989503","https://openalex.org/W4253780696","https://openalex.org/W4381890926","https://openalex.org/W4398763423","https://openalex.org/W4399382163","https://openalex.org/W4402579410","https://openalex.org/W4403983187","https://openalex.org/W4404906423","https://openalex.org/W4404946146","https://openalex.org/W4405721761","https://openalex.org/W6683479808","https://openalex.org/W6882846952"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"This":[0],"article":[1],"considers":[2],"a":[3,129,149,180],"class":[4,45,69],"of":[5,8,19,34,46,52,62,73,76,79,90,93,108,128,135,140,148,161,167,175,185,197,215],"entire":[6,64,114,137,204],"functions":[7],"several":[9,141],"complex":[10,142,187],"variables":[11,143],"that":[12,30,212],"are":[13,49,111,124,222],"bounded":[14],"in":[15],"the":[16,28,31,35,53,60,67,71,74,77,91,94,106,133,146,153,159,165,177,200],"Cartesian":[17],"product":[18],"some":[20,41,101],"half-planes.":[21],"Each":[22],"such":[23],"hyperplane":[24],"is":[25,38,156,209,217],"defined":[26],"on":[27,164],"condition":[29],"real":[32,98],"part":[33,99],"corresponding":[36],"variable":[37],"less":[39],"than":[40,192],"r.":[42],"For":[43],"this":[44],"functions,":[47],"there":[48],"established":[50],"analogs":[51,107],"Wiman":[54],"theorems.":[55],"The":[56,82,170],"first":[57],"result":[58,84],"describes":[59],"behavior":[61,134],"an":[63,136],"function":[65,95,138],"from":[66],"given":[68],"at":[70,145],"neighborhood":[72,147],"point":[75,150],"supremum":[78,160],"its":[80,97,162],"modulus.":[81],"second":[83],"shows":[85],"asymptotic":[86],"equality":[87],"for":[88,113,203,224],"supremums":[89],"modulus":[92,163],"and":[96],"outside":[100],"exceptional":[102],"set.":[103],"In":[104],"addition,":[105],"Wiman\u2019s":[109],"theorem":[110],"obtained":[112,125,202],"multiple":[115,205],"Dirichlet":[116,206],"series":[117],"with":[118],"arbitrary":[119],"non-negative":[120,226],"exponents.":[121,227],"These":[122,220],"results":[123,178,201],"as":[126],"consequences":[127],"new":[130],"statement":[131],"describing":[132],"F(z)":[139],"z=(z1,\u2026,zp)":[144],"w,":[151],"where":[152],"value":[154],"F(w)":[155],"close":[157],"to":[158],"boundary":[166],"polylinear":[168,190],"domains.":[169],"paper":[171],"has":[172],"two":[173],"moments":[174],"novelty:":[176],"use":[179],"more":[181],"general":[182],"geometric":[183],"exhaustion":[184],"p-dimensional":[186],"space":[188],"by":[189],"domains":[191],"previously":[193],"known;":[194],"another":[195],"aspect":[196],"novelty":[198],"concerns":[199],"series.":[207],"There":[208],"no":[210],"restriction":[211],"every":[213],"component":[214],"exponents":[216],"strictly":[218],"increasing.":[219],"statements":[221],"valid":[223],"any":[225]},"counts_by_year":[],"updated_date":"2026-02-27T16:54:17.756197","created_date":"2025-10-10T00:00:00"}
