{"title":"SYMBOLIC APPROACH TO THE QUADRATIC DECOMPOSITION OF APPELL SEQUENCES","authors":"S. Mekhalfa, M. Bouras","doi":"10.37418/amsj.11.12.9","DOIUrl":null,"url":null,"abstract":"In this paper, we characterize the four derived sequences obtained by the symbolic approach to the quadratic decomposition of Appll sequences. Moreover, we prove that the two monic polynomial sequences associated to such quadratic decomposition are also Appell sequences.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Mathematics: Scientific Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37418/amsj.11.12.9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we characterize the four derived sequences obtained by the symbolic approach to the quadratic decomposition of Appll sequences. Moreover, we prove that the two monic polynomial sequences associated to such quadratic decomposition are also Appell sequences.
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