{"id":"https://openalex.org/W7204256485","doi":"https://doi.org/10.5281/zenodo.22025576","title":"Common Factors of Dickson k-Fibonacci and Dickson k-Lucas Polynomials","display_name":"Common Factors of Dickson k-Fibonacci and Dickson k-Lucas Polynomials","publication_year":2026,"publication_date":"2026-08-20","ids":{"openalex":"https://openalex.org/W7204256485","doi":"https://doi.org/10.5281/zenodo.22025576"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.22025576","doi":"https://doi.org/10.5281/zenodo.22025576","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22025576","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"BookChapter"},"volume":null,"type":"book-chapter","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.22025576","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059034365","display_name":"Yashwant Kumar Panwar","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yashwant K. Panwar","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047783283","display_name":"Seema Kabra","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Seema Kabra","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5017231699","display_name":"Monika Tomar","orcid":"https://orcid.org/0000-0003-0322-6753","observed_orcids":["https://orcid.org/0000-0003-0322-6753"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Monika Tomar","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"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":0.81117231,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.4684999883174896,"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":0.4684999883174896,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.4580000042915344,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.02930000051856041,"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/dickson-polynomials","display_name":"Dickson polynomials","score":0.9860000014305115},{"id":"https://openalex.org/keywords/common-factors","display_name":"common factors","score":0.9150000214576721},{"id":"https://openalex.org/keywords/polynomial-identities","display_name":"polynomial identities","score":0.9169999957084656},{"id":"https://openalex.org/keywords/binet-s-formula","display_name":"Binet formula","score":0.8220000267028809},{"id":"https://openalex.org/keywords/generalized-identities","display_name":"generalized identities","score":0.9139999747276306}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7419000267982483},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5982999801635742},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5271999835968018},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.38100001215934753},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3499000072479248},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3481000065803528},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3474999964237213},{"id":"https://openalex.org/C47884741","wikidata":"https://www.wikidata.org/wiki/Q1166618","display_name":"Mathematical logic","level":2,"score":0.33320000767707825},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3061000108718872},{"id":"https://openalex.org/C86607863","wikidata":"https://www.wikidata.org/wiki/Q5275279","display_name":"Difference polynomials","level":3,"score":0.3003000020980835},{"id":"https://openalex.org/C125257309","wikidata":"https://www.wikidata.org/wiki/Q131752","display_name":"Greatest common divisor","level":2,"score":0.2996000051498413},{"id":"https://openalex.org/C106639798","wikidata":"https://www.wikidata.org/wiki/Q1701125","display_name":"Laurent polynomial","level":2,"score":0.28290000557899475},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.27390000224113464},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.2590999901294708}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.22025576","doi":"https://doi.org/10.5281/zenodo.22025576","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22025576","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"BookChapter"},{"id":"doi:10.5281/zenodo.22025577","doi":"https://doi.org/10.5281/zenodo.22025577","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22025577","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"BookChapter"}],"best_oa_location":{"id":"doi:10.5281/zenodo.22025576","doi":"https://doi.org/10.5281/zenodo.22025576","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22025576","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"BookChapter"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2542326610","https://openalex.org/W4405330926","https://openalex.org/W2150917968","https://openalex.org/W2588723000","https://openalex.org/W4377866274","https://openalex.org/W7220299162","https://openalex.org/W1767215503","https://openalex.org/W2810141198","https://openalex.org/W4287545803","https://openalex.org/W3165956555"],"abstract_inverted_index":{"Abstract:":[0],"In":[1],"this":[2],"study,":[3],"we":[4],"introduce":[5],"identities":[6],"that":[7],"describe":[8],"the":[9,43],"common":[10],"factors":[11],"of":[12],"Dickson":[13,16,57],"k-Fibonacci":[14,53],"and":[15,29],"k-Lucas":[17,55],"polynomials.":[18],"These":[19],"polynomials":[20],"are":[21],"a":[22],"new":[23],"class":[24],"introduced":[25],"by":[26],"Engin":[27],"Ozkan":[28],"Hakan":[30],"Akkus":[31],"in":[32],"2024.":[33],"We":[34,45],"will":[35],"mainly":[36],"rely":[37],"on":[38],"Binet's":[39],"formula":[40],"to":[41],"derive":[42],"identities.":[44,50],"also":[46],"present":[47],"some":[48],"generalized":[49],"Key":[51],"words:":[52],"polynomials,":[54,56,58],"Binet":[59],"formula.":[60]},"counts_by_year":[],"updated_date":"2026-10-07T09:51:55.459714","created_date":"2026-08-27T00:00:00"}
