关于多指标Whittaker函数，相关积分和不等式

IF 1.1 3区数学 Q1 MATHEMATICS Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI:10.7153/jmi-2022-16-37

Musharraf Ali, J. Paneva-Konovska, T. Pogány

{"title":"关于多指标Whittaker函数，相关积分和不等式","authors":"Musharraf Ali, J. Paneva-Konovska, T. Pogány","doi":"10.7153/jmi-2022-16-37","DOIUrl":null,"url":null,"abstract":". A new generalization of Whittaker function M λ , µ ( z ) is introduced and studied by means of the extended multi-index conﬂuent hypergeometric function of the ﬁrst kind Φ ( γ i ) , p ( α i , β i ) introduced in [1]. The related Euler–type integral representation and the Laplace–Mellin and Hankel integral transforms are also presented. Functional two–sided bounding inequality is established for the multi-index Mittag-Lefﬂer function, and in continuation functional lower bound is derived for the associated ML-extended Whittaker function.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On multi-index Whittaker function, related integrals and inequalities\",\"authors\":\"Musharraf Ali, J. Paneva-Konovska, T. Pogány\",\"doi\":\"10.7153/jmi-2022-16-37\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". A new generalization of Whittaker function M λ , µ ( z ) is introduced and studied by means of the extended multi-index conﬂuent hypergeometric function of the ﬁrst kind Φ ( γ i ) , p ( α i , β i ) introduced in [1]. The related Euler–type integral representation and the Laplace–Mellin and Hankel integral transforms are also presented. Functional two–sided bounding inequality is established for the multi-index Mittag-Lefﬂer function, and in continuation functional lower bound is derived for the associated ML-extended Whittaker function.\",\"PeriodicalId\":49165,\"journal\":{\"name\":\"Journal of Mathematical Inequalities\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Inequalities\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7153/jmi-2022-16-37\",\"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":"Journal of Mathematical Inequalities","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/jmi-2022-16-37","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

．利用[1]中引入的第一类扩展多指数合流超几何函数Φ (γ i)， p (α i， β i)，给出了Whittaker函数M λ，µ(z)的一个新的推广。给出了相关的欧拉型积分表示和Laplace-Mellin和Hankel积分变换。建立了多指标Mittag-Leffler函数的泛函双面边界不等式，并推导了相应的ml扩展Whittaker函数的泛函下界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

On multi-index Whittaker function, related integrals and inequalities

. A new generalization of Whittaker function M λ , µ ( z ) is introduced and studied by means of the extended multi-index conﬂuent hypergeometric function of the ﬁrst kind Φ ( γ i ) , p ( α i , β i ) introduced in [1]. The related Euler–type integral representation and the Laplace–Mellin and Hankel integral transforms are also presented. Functional two–sided bounding inequality is established for the multi-index Mittag-Lefﬂer function, and in continuation functional lower bound is derived for the associated ML-extended Whittaker function.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

期刊介绍： The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.