{"title":"广义椭圆积分与广义Grötzsch双参数函数","authors":"Jiezhu Lin, Qiu ing Zhang, Xiaohui Zhang","doi":"10.7153/jmi-2022-16-45","DOIUrl":null,"url":null,"abstract":". In this paper, we mainly study some monotonicity properties for the generalized ( p , q ) - elliptic integrals and the generalized Gr¨otzsch function. As applications, we obtain some sharp functional inequalities for the generalized Gr¨otzsch function and thus get improvements and extensions of some previous results.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Generalized elliptic integrals and generalized Grötzsch function with two parameters\",\"authors\":\"Jiezhu Lin, Qiu ing Zhang, Xiaohui Zhang\",\"doi\":\"10.7153/jmi-2022-16-45\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, we mainly study some monotonicity properties for the generalized ( p , q ) - elliptic integrals and the generalized Gr¨otzsch function. As applications, we obtain some sharp functional inequalities for the generalized Gr¨otzsch function and thus get improvements and extensions of some previous results.\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7153/jmi-2022-16-45\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/jmi-2022-16-45","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Generalized elliptic integrals and generalized Grötzsch function with two parameters
. In this paper, we mainly study some monotonicity properties for the generalized ( p , q ) - elliptic integrals and the generalized Gr¨otzsch function. As applications, we obtain some sharp functional inequalities for the generalized Gr¨otzsch function and thus get improvements and extensions of some previous results.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.