{"id":"https://openalex.org/W4394793066","doi":"https://doi.org/10.61091/ars158-01","title":"Four Classes of Nonterminating 3 F 2 (1)-Series via Kummer and Thomae Transformations","display_name":"Four Classes of Nonterminating 3 F 2 (1)-Series via Kummer and Thomae Transformations","publication_year":2024,"publication_date":"2024-03-31","ids":{"openalex":"https://openalex.org/W4394793066","doi":"https://doi.org/10.61091/ars158-01"},"language":"en","primary_location":{"id":"doi:10.61091/ars158-01","is_oa":true,"landing_page_url":"http://dx.doi.org/10.61091/ars158-01","pdf_url":"https://combinatorialpress.com/article/ars/Four-Classes-of-Nonterminating-3F2%281%29-Series-via-Kummer-and-Thomae-Transformations.pdf","source":{"id":"https://openalex.org/S73158690","display_name":"Ars Combinatoria","issn_l":"0381-7032","issn":["0381-7032","2817-5204"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4323439501","host_organization_name":"Charles Babbage Research Centre","host_organization_lineage":["https://openalex.org/P4323439501"],"host_organization_lineage_names":["Charles Babbage Research Centre"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ars Combinatoria","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://combinatorialpress.com/article/ars/Four-Classes-of-Nonterminating-3F2%281%29-Series-via-Kummer-and-Thomae-Transformations.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114036201","display_name":"Marta Na Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I4210093674","display_name":"Zhoukou Normal University","ror":"https://ror.org/00jjkh886","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210093674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Marta Na Chen","raw_affiliation_strings":["School of Mathematics and Statistics, Zhoukou Normal University Zhoukou (Henan), China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Zhoukou Normal University Zhoukou (Henan), China","institution_ids":["https://openalex.org/I4210093674"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028196106","display_name":"Wenchang Chu","orcid":"https://orcid.org/0000-0002-8425-212X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wenchang Chu","raw_affiliation_strings":["Via Dalmazio Birago 9E, Lecce 73100, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Via Dalmazio Birago 9E, Lecce 73100, Italy","institution_ids":[]}]},{"author_position":"last","author":{"id":null,"display_name":"Via Dalmazio Birago 9E, Lecce 73100, Italy","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Via Dalmazio Birago 9E, Lecce 73100, Italy","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09742977,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"158","issue":"01","first_page":"03","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9975000023841858,"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"}},"topics":[{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9975000023841858,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.972000002861023,"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":0.8669134974479675},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6947900652885437},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4521602988243103},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.43648621439933777},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4210317134857178},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3281107246875763},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.03709667921066284}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8669134974479675},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6947900652885437},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4521602988243103},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43648621439933777},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4210317134857178},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3281107246875763},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.03709667921066284},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.61091/ars158-01","is_oa":true,"landing_page_url":"http://dx.doi.org/10.61091/ars158-01","pdf_url":"https://combinatorialpress.com/article/ars/Four-Classes-of-Nonterminating-3F2%281%29-Series-via-Kummer-and-Thomae-Transformations.pdf","source":{"id":"https://openalex.org/S73158690","display_name":"Ars Combinatoria","issn_l":"0381-7032","issn":["0381-7032","2817-5204"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4323439501","host_organization_name":"Charles Babbage Research Centre","host_organization_lineage":["https://openalex.org/P4323439501"],"host_organization_lineage_names":["Charles Babbage Research Centre"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ars Combinatoria","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.61091/ars158-01","is_oa":true,"landing_page_url":"http://dx.doi.org/10.61091/ars158-01","pdf_url":"https://combinatorialpress.com/article/ars/Four-Classes-of-Nonterminating-3F2%281%29-Series-via-Kummer-and-Thomae-Transformations.pdf","source":{"id":"https://openalex.org/S73158690","display_name":"Ars Combinatoria","issn_l":"0381-7032","issn":["0381-7032","2817-5204"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4323439501","host_organization_name":"Charles Babbage Research Centre","host_organization_lineage":["https://openalex.org/P4323439501"],"host_organization_lineage_names":["Charles Babbage Research Centre"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ars Combinatoria","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4394793066.pdf","grobid_xml":"https://content.openalex.org/works/W4394793066.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1806291414","https://openalex.org/W1978439009","https://openalex.org/W2007088742","https://openalex.org/W2065906852","https://openalex.org/W2796155076","https://openalex.org/W3176450484","https://openalex.org/W3207116516","https://openalex.org/W4205445129","https://openalex.org/W6638389505","https://openalex.org/W6652208688","https://openalex.org/W6666861379","https://openalex.org/W6805589092"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2980963558","https://openalex.org/W1919101720","https://openalex.org/W4390822878","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W1976691234","https://openalex.org/W3212023493"],"abstract_inverted_index":{"By":[0],"employing":[1],"Kummer":[2],"and":[3],"Thomae":[4],"transformations,":[5],"we":[6],"examine":[7],"four":[8],"classes":[9],"of":[10],"nonterminating":[11],"3":[12],"F":[13],"2":[14],"(1)-series":[15],"with":[16],"five":[17],"integer":[18],"parameters.":[19],"Several":[20],"new":[21],"summation":[22],"formulae":[23],"are":[24],"established":[25],"in":[26],"closed":[27],"form.":[28]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2024-04-14T00:00:00"}