Juan F. Mañas–Mañas, Juan José Moreno Balcázar, Cristina Rodríguez-Perales
{"title":"Mehler-Heine asymptotics and zeros of some Meijer G–functions","authors":"Juan F. Mañas–Mañas, Juan José Moreno Balcázar, Cristina Rodríguez-Perales","doi":"10.1088/1402-4896/ad671a","DOIUrl":null,"url":null,"abstract":"\n We investigate the asymptotic behavior of the zeros of some Meijer $G$--functions. To achieve this, we analyze the Mehler--Heine asymptotics for these $G$--functions. The findings are then illustrated through numerical experiments.","PeriodicalId":503429,"journal":{"name":"Physica Scripta","volume":"36 24","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physica Scripta","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/1402-4896/ad671a","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We investigate the asymptotic behavior of the zeros of some Meijer $G$--functions. To achieve this, we analyze the Mehler--Heine asymptotics for these $G$--functions. The findings are then illustrated through numerical experiments.