{"title":"Bounds for Turánians of sections for series of certain subclasses of the Fox-Wright functions","authors":"Khaled Mehrez , Kamel Brahim","doi":"10.1016/j.jmaa.2024.129055","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we establish new Turán type inequalities for sections of some class of functions related to the generalized hypergeometric functions (Fox-Wright functions). The main mathematical tools of some of the main results are based on some new integral representations for the sections of hypergeometric functions and some monotonicity criterion of quotient of gamma function.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"544 1","pages":"Article 129055"},"PeriodicalIF":1.2000,"publicationDate":"2024-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X24009776","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
In this paper, we establish new Turán type inequalities for sections of some class of functions related to the generalized hypergeometric functions (Fox-Wright functions). The main mathematical tools of some of the main results are based on some new integral representations for the sections of hypergeometric functions and some monotonicity criterion of quotient of gamma function.
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The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions.
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