{"id":"https://openalex.org/W2288548597","doi":"https://doi.org/10.1109/saci.2016.7507352","title":"On Kapteyn-Kummer series' integral form","display_name":"On Kapteyn-Kummer series' integral form","publication_year":2016,"publication_date":"2016-05-01","ids":{"openalex":"https://openalex.org/W2288548597","doi":"https://doi.org/10.1109/saci.2016.7507352","mag":"2288548597"},"language":"en","primary_location":{"id":"doi:10.1109/saci.2016.7507352","is_oa":false,"landing_page_url":"https://doi.org/10.1109/saci.2016.7507352","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 11th International Symposium on Applied Computational Intelligence and Informatics (SACI)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1603.01085","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080528362","display_name":"Tibor K. Pog\u00e1ny","orcid":"https://orcid.org/0000-0002-4635-8257"},"institutions":[{"id":"https://openalex.org/I103356709","display_name":"Obuda University","ror":"https://ror.org/00ax71d21","country_code":"HU","type":"education","lineage":["https://openalex.org/I103356709"]},{"id":"https://openalex.org/I154347574","display_name":"University of Rijeka","ror":"https://ror.org/05r8dqr10","country_code":"HR","type":"education","lineage":["https://openalex.org/I154347574"]}],"countries":["HR","HU"],"is_corresponding":false,"raw_author_name":"Tibor K. Pogany","raw_affiliation_strings":["Faculty of Maritime Studies, University of Rijeka, Rijeka, Croatia","Institute of Applied Mathematics, Obuda University, Budapest, Hungary","Institute of Applied Mathematics, Obuda University, 1034 Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Maritime Studies, University of Rijeka, Rijeka, Croatia","institution_ids":["https://openalex.org/I154347574"]},{"raw_affiliation_string":"Institute of Applied Mathematics, Obuda University, Budapest, Hungary","institution_ids":["https://openalex.org/I103356709"]},{"raw_affiliation_string":"Institute of Applied Mathematics, Obuda University, 1034 Budapest, Hungary","institution_ids":["https://openalex.org/I103356709"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108688415","display_name":"\u00c1rp\u00e1d Baricz","orcid":null},"institutions":[{"id":"https://openalex.org/I103356709","display_name":"Obuda University","ror":"https://ror.org/00ax71d21","country_code":"HU","type":"education","lineage":["https://openalex.org/I103356709"]},{"id":"https://openalex.org/I3125347698","display_name":"Babe\u0219-Bolyai University","ror":"https://ror.org/02rmd1t30","country_code":"RO","type":"education","lineage":["https://openalex.org/I3125347698"]}],"countries":["HU","RO"],"is_corresponding":false,"raw_author_name":"Arpad Baricz","raw_affiliation_strings":["Department of Economics, Babe\u015f-Bolyai University, Cluj-Napoca, Romania","Institute of Applied Mathematics, Obuda University, Budapest, Hungary","Institute of Applied Mathematics, Obuda University, 1034 Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Economics, Babe\u015f-Bolyai University, Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I3125347698"]},{"raw_affiliation_string":"Institute of Applied Mathematics, Obuda University, Budapest, Hungary","institution_ids":["https://openalex.org/I103356709"]},{"raw_affiliation_string":"Institute of Applied Mathematics, Obuda University, 1034 Budapest, Hungary","institution_ids":["https://openalex.org/I103356709"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056333123","display_name":"Anik\u00f3 Szak\u00e1l","orcid":null},"institutions":[{"id":"https://openalex.org/I103356709","display_name":"Obuda University","ror":"https://ror.org/00ax71d21","country_code":"HU","type":"education","lineage":["https://openalex.org/I103356709"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Aniko Szakal","raw_affiliation_strings":["Obuda University, Budapest, Hungary","\u00d3buda University, 1034 Budapest, Hungary#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Obuda University, Budapest, Hungary","institution_ids":["https://openalex.org/I103356709"]},{"raw_affiliation_string":"\u00d3buda University, 1034 Budapest, Hungary#TAB#","institution_ids":["https://openalex.org/I103356709"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0288839,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":null,"first_page":"119","last_page":"122"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9998999834060669,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9998999834060669,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11166","display_name":"Analytic Number Theory Research","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/series","display_name":"Series (stratigraphy)","score":0.7639954090118408},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5758188962936401},{"id":"https://openalex.org/keywords/hypergeometric-function","display_name":"Hypergeometric function","score":0.5199388265609741},{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.48364388942718506},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.443865031003952},{"id":"https://openalex.org/keywords/neumann-series","display_name":"Neumann series","score":0.43235453963279724},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29930657148361206},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.055710285902023315}],"concepts":[{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.7639954090118408},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5758188962936401},{"id":"https://openalex.org/C197320386","wikidata":"https://www.wikidata.org/wiki/Q21028472","display_name":"Hypergeometric function","level":2,"score":0.5199388265609741},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.48364388942718506},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.443865031003952},{"id":"https://openalex.org/C137343772","wikidata":"https://www.wikidata.org/wiki/Q584910","display_name":"Neumann series","level":2,"score":0.43235453963279724},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29930657148361206},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.055710285902023315},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/saci.2016.7507352","is_oa":false,"landing_page_url":"https://doi.org/10.1109/saci.2016.7507352","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 11th International Symposium on Applied Computational Intelligence and Informatics (SACI)","raw_type":"proceedings-article"},{"id":"pmh:oai:real.mtak.hu:40691","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400081","display_name":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210140733","host_organization_name":"Library and Information Centre of the Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I4210140733"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop Item"},{"id":"pmh:oai:arXiv.org:1603.01085","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1603.01085","pdf_url":"https://arxiv.org/pdf/1603.01085","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"mag:2288548597","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1603.01085.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1603.01085","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1603.01085","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.13140/rg.2.1.4095.4645","is_oa":true,"landing_page_url":"https://doi.org/10.13140/rg.2.1.4095.4645","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Other"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1603.01085","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1603.01085","pdf_url":"https://arxiv.org/pdf/1603.01085","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":[{"score":0.5600000023841858,"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W583378720","https://openalex.org/W1970088021","https://openalex.org/W1980068802","https://openalex.org/W1989409739","https://openalex.org/W1993952893","https://openalex.org/W2029512223","https://openalex.org/W2039713850","https://openalex.org/W2043482602","https://openalex.org/W2081338783","https://openalex.org/W2089236588","https://openalex.org/W2185853278","https://openalex.org/W2563098706","https://openalex.org/W2600346620","https://openalex.org/W2801179766","https://openalex.org/W6629308704"],"related_works":["https://openalex.org/W2039713850","https://openalex.org/W2596913902","https://openalex.org/W2990240397","https://openalex.org/W2971529041","https://openalex.org/W2326599330","https://openalex.org/W282266511","https://openalex.org/W2108978939","https://openalex.org/W1567579315","https://openalex.org/W1582689505","https://openalex.org/W1795607057","https://openalex.org/W2011597788","https://openalex.org/W781379260","https://openalex.org/W2129735422","https://openalex.org/W2170126125","https://openalex.org/W2159236707","https://openalex.org/W2963199947","https://openalex.org/W2053284602","https://openalex.org/W1976053198","https://openalex.org/W2963466216"],"abstract_inverted_index":{"In":[0],"this":[1],"short":[2],"research":[3],"note":[4],"we":[5],"obtain":[6],"double":[7],"definite":[8],"integral":[9],"expressions":[10],"for":[11,44],"the":[12,40],"Kapteyn":[13],"type":[14],"series":[15,35,49],"built":[16],"by":[17,52],"Kummer's":[18],"M":[19],"(or":[20],"confluent":[21],"hypergeometric":[22],"<sub":[23,27],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[24,28],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[25,29],"F":[26],")":[30],"functions.":[31],"These":[32],"kind":[33],"of":[34],"unify":[36],"in":[37],"natural":[38],"way":[39],"similar":[41],"fashion":[42],"results":[43],"Neumann-,":[45],"Schl\u00f6milch-":[46],"and":[47,56],"Kapteyn-Bessel":[48],"recently":[50],"established":[51],"Pog\u00e1ny,":[53],"S\u00fcli,":[54],"Baricz":[55],"Jankov":[57],"Ma\u0161irevi\u0107.":[58]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
