{"title":"On the Linear Recurrence of (Generalized) Hybrid Numbers Sequences and Moment Problems","authors":"Abdallah Taia, Rajae Ben Taher, Bouazza El Wahbi","doi":"10.1007/s11785-024-01582-6","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Aim</h3><p>The aim of this study is to introduce definitions and explore properties of moment problems for sequences of generalized hybrid numbers satisfying a linear recursive equation.</p><h3 data-test=\"abstract-sub-heading\">Methods</h3><p>We analyze complex measures derived from the linear recurrence of hybrid numbers and generalized hybrid numbers sequences.</p><h3 data-test=\"abstract-sub-heading\">Results</h3><p>We present results pertaining to the moments of these complex measures.</p><h3 data-test=\"abstract-sub-heading\">Conclusions</h3><p>This study contributes to the understanding of moment problems in the context of generalized hybrid number sequences.</p>","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2024-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Analysis and Operator Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11785-024-01582-6","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Aim
The aim of this study is to introduce definitions and explore properties of moment problems for sequences of generalized hybrid numbers satisfying a linear recursive equation.
Methods
We analyze complex measures derived from the linear recurrence of hybrid numbers and generalized hybrid numbers sequences.
Results
We present results pertaining to the moments of these complex measures.
Conclusions
This study contributes to the understanding of moment problems in the context of generalized hybrid number sequences.
期刊介绍：
Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.
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