{"title":"一类新的广义厄米特多项式","authors":"M. Ghayasuddin","doi":"10.1515/anly-2022-1090","DOIUrl":null,"url":null,"abstract":"Abstract The main object of this paper is to propose a new class of the Hermite-based polynomials by considering the Wiman (generalized Mittag-Leffler) function. We also indicate some analytical properties of our defined polynomials in a well-ordered way. Moreover, we consider a multi-index generalization of our generalized Hermite-based polynomials in the last section.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"60 1","pages":"201 - 208"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A new class of the generalized Hermite-based polynomials\",\"authors\":\"M. Ghayasuddin\",\"doi\":\"10.1515/anly-2022-1090\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract The main object of this paper is to propose a new class of the Hermite-based polynomials by considering the Wiman (generalized Mittag-Leffler) function. We also indicate some analytical properties of our defined polynomials in a well-ordered way. Moreover, we consider a multi-index generalization of our generalized Hermite-based polynomials in the last section.\",\"PeriodicalId\":82310,\"journal\":{\"name\":\"Philosophic research and analysis\",\"volume\":\"60 1\",\"pages\":\"201 - 208\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Philosophic research and analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/anly-2022-1090\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Philosophic research and analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/anly-2022-1090","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A new class of the generalized Hermite-based polynomials
Abstract The main object of this paper is to propose a new class of the Hermite-based polynomials by considering the Wiman (generalized Mittag-Leffler) function. We also indicate some analytical properties of our defined polynomials in a well-ordered way. Moreover, we consider a multi-index generalization of our generalized Hermite-based polynomials in the last section.