{"id":"https://openalex.org/W2006760642","doi":"https://doi.org/10.1155/2012/210768","title":"Calculating Zeros of the -Genocchi Polynomials Associated with -Adic -Integral on","display_name":"Calculating Zeros of the -Genocchi Polynomials Associated with -Adic -Integral on","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2006760642","doi":"https://doi.org/10.1155/2012/210768","mag":"2006760642"},"language":"en","primary_location":{"id":"doi:10.1155/2012/210768","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/210768","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/210768.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2012/210768.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111969523","display_name":"C. S. Ryoo","orcid":null},"institutions":[{"id":"https://openalex.org/I112728665","display_name":"Hannam University","ror":"https://ror.org/01cwbae71","country_code":"KR","type":"education","lineage":["https://openalex.org/I112728665"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"C. S. Ryoo","raw_affiliation_strings":["Department of Mathematics, Hannam University, Daejeon 306-791, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hannam University, Daejeon 306-791, Republic of Korea","institution_ids":["https://openalex.org/I112728665"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111969523"],"corresponding_institution_ids":["https://openalex.org/I112728665"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.105617,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2012","issue":null,"first_page":"1","last_page":"18"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":1.0,"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":1.0,"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":0.9983999729156494,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9962999820709229,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9145705699920654},{"id":"https://openalex.org/keywords/discrete-orthogonal-polynomials","display_name":"Discrete orthogonal polynomials","score":0.5901962518692017},{"id":"https://openalex.org/keywords/difference-polynomials","display_name":"Difference polynomials","score":0.5845039486885071},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.5831493139266968},{"id":"https://openalex.org/keywords/macdonald-polynomials","display_name":"Macdonald polynomials","score":0.5796936750411987},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.5166237950325012},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.49355852603912354},{"id":"https://openalex.org/keywords/koornwinder-polynomials","display_name":"Koornwinder polynomials","score":0.46766865253448486},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36520326137542725}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9145705699920654},{"id":"https://openalex.org/C52537462","wikidata":"https://www.wikidata.org/wiki/Q5282055","display_name":"Discrete orthogonal polynomials","level":3,"score":0.5901962518692017},{"id":"https://openalex.org/C86607863","wikidata":"https://www.wikidata.org/wiki/Q5275279","display_name":"Difference polynomials","level":3,"score":0.5845039486885071},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.5831493139266968},{"id":"https://openalex.org/C171686973","wikidata":"https://www.wikidata.org/wiki/Q17098676","display_name":"Macdonald polynomials","level":4,"score":0.5796936750411987},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.5166237950325012},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49355852603912354},{"id":"https://openalex.org/C5056958","wikidata":"https://www.wikidata.org/wiki/Q6430769","display_name":"Koornwinder polynomials","level":5,"score":0.46766865253448486},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36520326137542725}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2012/210768","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/210768","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/210768.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:210768","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2012/210768.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:4bde6b4803cb4b538b4d4f6810e7db4d","is_oa":true,"landing_page_url":"https://doaj.org/article/4bde6b4803cb4b538b4d4f6810e7db4d","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/210768","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/210768","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/210768.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2006760642.pdf","grobid_xml":"https://content.openalex.org/works/W2006760642.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1602377830","https://openalex.org/W1620686739","https://openalex.org/W1993453721","https://openalex.org/W2056668637","https://openalex.org/W2063754977","https://openalex.org/W2090042883","https://openalex.org/W2092600192","https://openalex.org/W2102494305","https://openalex.org/W2295768924","https://openalex.org/W3083061877","https://openalex.org/W3207970702","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2051848833","https://openalex.org/W1565422586","https://openalex.org/W2510621088","https://openalex.org/W2132314122","https://openalex.org/W2078527818","https://openalex.org/W2070537393","https://openalex.org/W3108681287","https://openalex.org/W4287162593","https://openalex.org/W2004970829","https://openalex.org/W1997096699"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,35,51],"construct":[4],"the":[5,10,17,23,42,46,56,59],"new":[6],"analogues":[7],"of":[8,19,22,32,41,45,58],"Genocchi":[9],"numbers":[11],"and":[12],"polynomials.":[13],"We":[14],"also":[15],"observe":[16],"behavior":[18],"complex":[20,43],"roots":[21,44],"-Genocchi":[24,47,60],"polynomials":[25,48,61],",":[26],"using":[27],"numerical":[28,33],"investigation.":[29],"By":[30],"means":[31],"experiments,":[34],"demonstrate":[36],"a":[37,53],"remarkably":[38],"regular":[39],"structure":[40],".":[49,62],"Finally,":[50],"give":[52],"table":[54],"for":[55],"solutions":[57]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
