{"id":"https://openalex.org/W4206526206","doi":"https://doi.org/10.1137/20m1379952","title":"Total Positivity from the Exponential Riordan Arrays","display_name":"Total Positivity from the Exponential Riordan Arrays","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W4206526206","doi":"https://doi.org/10.1137/20m1379952"},"language":"en","primary_location":{"id":"doi:10.1137/20m1379952","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1379952","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/A5091531217","display_name":"Bao-Xuan Zhu","orcid":"https://orcid.org/0000-0002-3682-6184"},"institutions":[{"id":"https://openalex.org/I118574674","display_name":"Jiangsu Normal University","ror":"https://ror.org/051hvcm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I118574674"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bao-Xuan Zhu","raw_affiliation_strings":["School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, PR China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, PR China","institution_ids":["https://openalex.org/I118574674"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5091531217"],"corresponding_institution_ids":["https://openalex.org/I118574674"],"apc_list":null,"apc_paid":null,"fwci":5.1714,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.96827795,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"35","issue":"4","first_page":"2971","last_page":"3003"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9997000098228455,"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":0.9997000098228455,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9435999989509583,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8352267146110535},{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.7779637575149536},{"id":"https://openalex.org/keywords/laguerre-polynomials","display_name":"Laguerre polynomials","score":0.7187582850456238},{"id":"https://openalex.org/keywords/recurrence-relation","display_name":"Recurrence relation","score":0.6770347952842712},{"id":"https://openalex.org/keywords/catalan-number","display_name":"Catalan number","score":0.6562409996986389},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6040789484977722},{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.5688155889511108},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.44705477356910706},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.43157389760017395},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3908647298812866},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34691351652145386},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14155679941177368}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8352267146110535},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.7779637575149536},{"id":"https://openalex.org/C108408018","wikidata":"https://www.wikidata.org/wiki/Q1124546","display_name":"Laguerre polynomials","level":2,"score":0.7187582850456238},{"id":"https://openalex.org/C201292218","wikidata":"https://www.wikidata.org/wiki/Q740970","display_name":"Recurrence relation","level":2,"score":0.6770347952842712},{"id":"https://openalex.org/C43929256","wikidata":"https://www.wikidata.org/wiki/Q270513","display_name":"Catalan number","level":2,"score":0.6562409996986389},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6040789484977722},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.5688155889511108},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.44705477356910706},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.43157389760017395},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3908647298812866},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34691351652145386},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14155679941177368},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m1379952","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1379952","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2802911279","display_name":null,"funder_award_id":"Young","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3018944574","display_name":null,"funder_award_id":"11971206","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3580747977","display_name":null,"funder_award_id":"12022105","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3839933306","display_name":null,"funder_award_id":"2020004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6221780053","display_name":null,"funder_award_id":"11971","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G886148887","display_name":null,"funder_award_id":"BK20200048","funder_id":"https://openalex.org/F4320335445","funder_display_name":"Outstanding Youth Foundation of Jiangsu Province of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321605","display_name":"Government of Jiangsu Province","ror":"https://ror.org/004svx814"},{"id":"https://openalex.org/F4320335445","display_name":"Outstanding Youth Foundation of Jiangsu Province of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1488118240","https://openalex.org/W1594172504","https://openalex.org/W1894738992","https://openalex.org/W1967472879","https://openalex.org/W1970904263","https://openalex.org/W1975319550","https://openalex.org/W1978153654","https://openalex.org/W1978344050","https://openalex.org/W1985849796","https://openalex.org/W2001412859","https://openalex.org/W2007090624","https://openalex.org/W2017833397","https://openalex.org/W2028017249","https://openalex.org/W2028216156","https://openalex.org/W2035133303","https://openalex.org/W2049817705","https://openalex.org/W2050274205","https://openalex.org/W2051330046","https://openalex.org/W2054833597","https://openalex.org/W2055840522","https://openalex.org/W2065957664","https://openalex.org/W2082922018","https://openalex.org/W2085666160","https://openalex.org/W2087830437","https://openalex.org/W2089620944","https://openalex.org/W2090335639","https://openalex.org/W2091216084","https://openalex.org/W2094042760","https://openalex.org/W2098005496","https://openalex.org/W2129646243","https://openalex.org/W2133350515","https://openalex.org/W2149977129","https://openalex.org/W2151257138","https://openalex.org/W2288378091","https://openalex.org/W2335641610","https://openalex.org/W2461823106","https://openalex.org/W2554694752","https://openalex.org/W2592315004","https://openalex.org/W2883854024","https://openalex.org/W2912617141","https://openalex.org/W2921363338","https://openalex.org/W2925276714","https://openalex.org/W2953301595","https://openalex.org/W2962965200","https://openalex.org/W2963657376","https://openalex.org/W2998879913","https://openalex.org/W3099583810","https://openalex.org/W3171371020","https://openalex.org/W4210962187","https://openalex.org/W4250083519"],"related_works":["https://openalex.org/W1979488839","https://openalex.org/W2551082991","https://openalex.org/W2952907118","https://openalex.org/W4390670062","https://openalex.org/W3201557929","https://openalex.org/W4300011479","https://openalex.org/W1891138428","https://openalex.org/W2149973313","https://openalex.org/W4389006088","https://openalex.org/W1991661565"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"12":[17],"November":[18],"2020Accepted:":[19],"15":[20],"August":[21],"2021Published":[22],"online:":[23],"13":[24],"December":[25],"2021Keywordsexponential":[26],"generating":[27],"functions,":[28],"Riordan":[29],"arrays,":[30],"recurrence":[31],"relations,":[32],"total":[33],"positivity,":[34],"Hankel":[35],"matrices,":[36,38],"Toeplitz":[37],"Stieltjes":[39],"moment":[40],"property,":[41],"convolutions,":[42],"continued":[43],"fractions,":[44],"3-q-log-convexity,":[45],"Bessel":[46],"numbers,":[47,49,51],"Lah":[48],"idempotent":[50],"rook":[52],"polynomials,":[53],"Laguerre":[54],"polynomialsAMS":[55],"Subject":[56],"Headings05A20,":[57],"05A15,":[58],"11B83,":[59],"15B36,":[60],"44A60Publication":[61],"DataISSN":[62],"(print):":[63],"0895-4801ISSN":[64],"(online):":[65],"1095-7146Publisher:":[66],"Society":[67],"for":[68],"Industrial":[69],"and":[70],"Applied":[71],"MathematicsCODEN:":[72],"sjdmec":[73]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}