{"title":"修正的第一类洛梅尔函数的单调性模式和函数不等式","authors":"H. M. Zayed, K. Mehrez, J. Morais","doi":"10.1007/s13324-024-00962-7","DOIUrl":null,"url":null,"abstract":"<div><p>We present new functional inequalities and monotonicity results for the modified Lommel functions of the first kind, such as absolute monotonicity, complete monotonicity, monotonicity, log-convexity, and strong convexity. Various inequalities involving reverse Turán-type inequalities are proven to illustrate the results of this paper.\n</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"14 5","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2024-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Monotonicity patterns and functional inequalities for modified Lommel functions of the first kind\",\"authors\":\"H. M. Zayed, K. Mehrez, J. Morais\",\"doi\":\"10.1007/s13324-024-00962-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We present new functional inequalities and monotonicity results for the modified Lommel functions of the first kind, such as absolute monotonicity, complete monotonicity, monotonicity, log-convexity, and strong convexity. Various inequalities involving reverse Turán-type inequalities are proven to illustrate the results of this paper.\\n</p></div>\",\"PeriodicalId\":48860,\"journal\":{\"name\":\"Analysis and Mathematical Physics\",\"volume\":\"14 5\",\"pages\":\"\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2024-08-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Analysis and Mathematical Physics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s13324-024-00962-7\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analysis and Mathematical Physics","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s13324-024-00962-7","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Monotonicity patterns and functional inequalities for modified Lommel functions of the first kind
We present new functional inequalities and monotonicity results for the modified Lommel functions of the first kind, such as absolute monotonicity, complete monotonicity, monotonicity, log-convexity, and strong convexity. Various inequalities involving reverse Turán-type inequalities are proven to illustrate the results of this paper.
期刊介绍：
Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.
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