{"id":"https://openalex.org/W4382281273","doi":"https://doi.org/10.1007/s00373-023-02676-2","title":"Summations on the Diagonals of a Riordan Array and Some Applications","display_name":"Summations on the Diagonals of a Riordan Array and Some Applications","publication_year":2023,"publication_date":"2023-06-27","ids":{"openalex":"https://openalex.org/W4382281273","doi":"https://doi.org/10.1007/s00373-023-02676-2"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-023-02676-2","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s00373-023-02676-2","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101731236","display_name":"Lin Yang","orcid":"https://orcid.org/0000-0002-4487-6026"},"institutions":[{"id":"https://openalex.org/I22716506","display_name":"Lanzhou University of Technology","ror":"https://ror.org/03panb555","country_code":"CN","type":"education","lineage":["https://openalex.org/I22716506"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lin Yang","raw_affiliation_strings":["Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, 730050, Gansu, People\u2019s Republic of China","Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, 730050, Gansu, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-4487-6026","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, 730050, Gansu, People\u2019s Republic of China","institution_ids":["https://openalex.org/I22716506"]},{"raw_affiliation_string":"Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, 730050, Gansu, People's Republic of China","institution_ids":["https://openalex.org/I22716506"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068812894","display_name":"Sheng-Liang Yang","orcid":"https://orcid.org/0000-0002-9314-346X"},"institutions":[{"id":"https://openalex.org/I22716506","display_name":"Lanzhou University of Technology","ror":"https://ror.org/03panb555","country_code":"CN","type":"education","lineage":["https://openalex.org/I22716506"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sheng-Liang Yang","raw_affiliation_strings":["Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, 730050, Gansu, People\u2019s Republic of China","Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, 730050, Gansu, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, 730050, Gansu, People\u2019s Republic of China","institution_ids":["https://openalex.org/I22716506"]},{"raw_affiliation_string":"Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, 730050, Gansu, People's Republic of China","institution_ids":["https://openalex.org/I22716506"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001633638","display_name":"Tian-Xiao He","orcid":"https://orcid.org/0000-0002-9405-5808"},"institutions":[{"id":"https://openalex.org/I184616310","display_name":"Illinois Wesleyan University","ror":"https://ror.org/021aqk126","country_code":"US","type":"education","lineage":["https://openalex.org/I184616310"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tian-Xiao He","raw_affiliation_strings":["Department of Mathematics, Illinois Wesleyan University, Bloomington, IL, 61702, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Illinois Wesleyan University, Bloomington, IL, 61702, USA","institution_ids":["https://openalex.org/I184616310"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101731236"],"corresponding_institution_ids":["https://openalex.org/I22716506"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.6696,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.58805871,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"39","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.9876999855041504,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9656000137329102,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/binomial-coefficient","display_name":"Binomial coefficient","score":0.8208686113357544},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8071088790893555},{"id":"https://openalex.org/keywords/fibonacci-number","display_name":"Fibonacci number","score":0.7832139730453491},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7726601362228394},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.7349537014961243},{"id":"https://openalex.org/keywords/catalan-number","display_name":"Catalan number","score":0.6237238645553589},{"id":"https://openalex.org/keywords/bernoullis-principle","display_name":"Bernoulli's principle","score":0.5209901928901672},{"id":"https://openalex.org/keywords/pascal","display_name":"Pascal (unit)","score":0.4527469277381897},{"id":"https://openalex.org/keywords/bernoulli-number","display_name":"Bernoulli number","score":0.43008238077163696},{"id":"https://openalex.org/keywords/main-diagonal","display_name":"Main diagonal","score":0.421101450920105},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10280594229698181},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08175933361053467}],"concepts":[{"id":"https://openalex.org/C34718186","wikidata":"https://www.wikidata.org/wiki/Q209875","display_name":"Binomial coefficient","level":2,"score":0.8208686113357544},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8071088790893555},{"id":"https://openalex.org/C173734053","wikidata":"https://www.wikidata.org/wiki/Q47577","display_name":"Fibonacci number","level":2,"score":0.7832139730453491},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7726601362228394},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.7349537014961243},{"id":"https://openalex.org/C43929256","wikidata":"https://www.wikidata.org/wiki/Q270513","display_name":"Catalan number","level":2,"score":0.6237238645553589},{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.5209901928901672},{"id":"https://openalex.org/C75608658","wikidata":"https://www.wikidata.org/wiki/Q44395","display_name":"Pascal (unit)","level":2,"score":0.4527469277381897},{"id":"https://openalex.org/C129960964","wikidata":"https://www.wikidata.org/wiki/Q694114","display_name":"Bernoulli number","level":2,"score":0.43008238077163696},{"id":"https://openalex.org/C60761296","wikidata":"https://www.wikidata.org/wiki/Q651480","display_name":"Main diagonal","level":3,"score":0.421101450920105},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10280594229698181},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08175933361053467},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-023-02676-2","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s00373-023-02676-2","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1641176245","display_name":null,"funder_award_id":"12101280","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2819160658","display_name":null,"funder_award_id":"11861045","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1592078699","https://openalex.org/W1598244611","https://openalex.org/W1972933116","https://openalex.org/W1989691865","https://openalex.org/W1994416105","https://openalex.org/W1994702412","https://openalex.org/W2019636260","https://openalex.org/W2038671824","https://openalex.org/W2039053128","https://openalex.org/W2044408173","https://openalex.org/W2060766767","https://openalex.org/W2076114419","https://openalex.org/W2163053236","https://openalex.org/W2416771097","https://openalex.org/W2586224603","https://openalex.org/W2973141541","https://openalex.org/W4402831804"],"related_works":["https://openalex.org/W4229015079","https://openalex.org/W3103220287","https://openalex.org/W3146105939","https://openalex.org/W4297804363","https://openalex.org/W2523519079","https://openalex.org/W4306404500","https://openalex.org/W4251864510","https://openalex.org/W4283218946","https://openalex.org/W1606266554","https://openalex.org/W2980034199"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-01-24T23:23:39.755997","created_date":"2025-10-10T00:00:00"}
