{"id":"https://openalex.org/W1594729400","doi":"https://doi.org/10.37236/1132","title":"Hayman Admissible Functions in Several Variables","display_name":"Hayman Admissible Functions in Several Variables","publication_year":2006,"publication_date":"2006-11-17","ids":{"openalex":"https://openalex.org/W1594729400","doi":"https://doi.org/10.37236/1132","mag":"1594729400"},"language":"en","primary_location":{"id":"doi:10.37236/1132","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1132","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v13i1r106/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v13i1r106/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037333569","display_name":"Bernhard Gittenberger","orcid":"https://orcid.org/0000-0002-2639-8227"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]},{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Bernhard Gittenberger","raw_affiliation_strings":["Institute of Discrete Mathematics and Geometry Technical University of Vienna Wiedner Hauptstrae 8-10/104 A-1040 Wien, Austria","Institute of Discrete Mathematics and Geometry Technical University of Vienna Wiedner Hauptstra\u00dfe 8-10/104 A-1040 Wien, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Discrete Mathematics and Geometry Technical University of Vienna Wiedner Hauptstrae 8-10/104 A-1040 Wien, Austria","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Institute of Discrete Mathematics and Geometry Technical University of Vienna Wiedner Hauptstra\u00dfe 8-10/104 A-1040 Wien, Austria","institution_ids":["https://openalex.org/I145847075","https://openalex.org/I129774422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022453151","display_name":"Johannes Mandlburger","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]},{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Johannes Mandlburger","raw_affiliation_strings":["Institute of Discrete Mathematics and Geometry Technical University of Vienna Wiedner Hauptstrae 8-10/104 A-1040 Wien, Austria","Institute of Discrete Mathematics and Geometry Technical University of Vienna Wiedner Hauptstra\u00dfe 8-10/104 A-1040 Wien, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Discrete Mathematics and Geometry Technical University of Vienna Wiedner Hauptstrae 8-10/104 A-1040 Wien, Austria","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Institute of Discrete Mathematics and Geometry Technical University of Vienna Wiedner Hauptstra\u00dfe 8-10/104 A-1040 Wien, Austria","institution_ids":["https://openalex.org/I145847075","https://openalex.org/I129774422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037333569"],"corresponding_institution_ids":["https://openalex.org/I129774422","https://openalex.org/I145847075"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.07341369,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"13","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9646000266075134,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9646000266075134,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9420999884605408,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9273999929428101,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8935573101043701},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.7646188139915466},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.6297041177749634},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6088688969612122},{"id":"https://openalex.org/keywords/contrast","display_name":"Contrast (vision)","score":0.46758580207824707},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4023990035057068},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3899092376232147},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15749981999397278},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.037544965744018555}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8935573101043701},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.7646188139915466},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.6297041177749634},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6088688969612122},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.46758580207824707},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4023990035057068},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3899092376232147},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15749981999397278},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.037544965744018555},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.37236/1132","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1132","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v13i1r106/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.140.8775","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.140.8775","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.geometrie.tuwien.ac.at/bgitten/papers/multi-H.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.85.5690","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.85.5690","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.emis.de/journals/EJC/Volume_13/PDF/v13i1r106.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/1132","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1132","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v13i1r106/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8055855504","display_name":null,"funder_award_id":"S9604","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1594729400.pdf","grobid_xml":"https://content.openalex.org/works/W1594729400.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W82672431","https://openalex.org/W196531003","https://openalex.org/W1480610258","https://openalex.org/W1697611676","https://openalex.org/W1840156901","https://openalex.org/W1969474871","https://openalex.org/W1980132473","https://openalex.org/W1981455273","https://openalex.org/W1981946205","https://openalex.org/W1982202832","https://openalex.org/W1985838098","https://openalex.org/W1986898350","https://openalex.org/W1987875994","https://openalex.org/W1989492830","https://openalex.org/W1997875704","https://openalex.org/W2007263799","https://openalex.org/W2014751736","https://openalex.org/W2015233175","https://openalex.org/W2016592053","https://openalex.org/W2026252457","https://openalex.org/W2028520291","https://openalex.org/W2029315096","https://openalex.org/W2034857851","https://openalex.org/W2035288118","https://openalex.org/W2041039575","https://openalex.org/W2041339663","https://openalex.org/W2052569520","https://openalex.org/W2058303357","https://openalex.org/W2059507588","https://openalex.org/W2062302963","https://openalex.org/W2069241007","https://openalex.org/W2077909795","https://openalex.org/W2081982513","https://openalex.org/W2082637057","https://openalex.org/W2092866774","https://openalex.org/W2094482767","https://openalex.org/W2127887726","https://openalex.org/W2137496336","https://openalex.org/W2138596256","https://openalex.org/W2147209065","https://openalex.org/W2153847184","https://openalex.org/W2154171375","https://openalex.org/W2163496715","https://openalex.org/W2267751933","https://openalex.org/W2911361414","https://openalex.org/W4232202923","https://openalex.org/W4386045332","https://openalex.org/W6680663535"],"related_works":["https://openalex.org/W315394019","https://openalex.org/W2923398117","https://openalex.org/W4309585848","https://openalex.org/W2265383332","https://openalex.org/W4328130279","https://openalex.org/W2069592018","https://openalex.org/W4313657047","https://openalex.org/W2075740387","https://openalex.org/W2002342158","https://openalex.org/W2105009749"],"abstract_inverted_index":{"An":[0],"alternative":[1],"generalisation":[2],"of":[3,6,31,35,54],"Hayman's":[4,43],"concept":[5],"admissible":[7,44],"functions":[8,10,45,55],"to":[9,28,49],"in":[11],"several":[12],"variables":[13],"is":[14,24],"developed":[15],"and":[16],"a":[17],"multivariate":[18],"asymptotic":[19],"expansion":[20],"for":[21,51],"the":[22,36],"coefficients":[23],"proved.":[25],"In":[26],"contrast":[27],"existing":[29],"generalisations":[30],"Hayman":[32],"admissibility,":[33],"most":[34],"closure":[37],"properties":[38],"which":[39],"are":[40],"satisfied":[41],"by":[42],"can":[46],"be":[47],"shown":[48],"hold":[50],"this":[52],"class":[53],"as":[56],"well.":[57]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}