{"title":"Introducing Bessel functions and their properties","authors":"W. Robin","doi":"10.12988/JITE.2017.723","DOIUrl":null,"url":null,"abstract":"A hybrid approach to the introduction of Bessel functions is proposed. Combining the factorization method for resolving second-order homogeneous differential equations into a ladder-operator representation with the Laplace transform method for solving the zero-order Bessel equation, the standard infinite series solutions to the Bessel equation are determined, as well as many well-known relations involving Bessel functions. Mathematics Subject Classification: 33C10, 34A30, 33B15, 34A25, 34B30, 44A10","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/JITE.2017.723","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
A hybrid approach to the introduction of Bessel functions is proposed. Combining the factorization method for resolving second-order homogeneous differential equations into a ladder-operator representation with the Laplace transform method for solving the zero-order Bessel equation, the standard infinite series solutions to the Bessel equation are determined, as well as many well-known relations involving Bessel functions. Mathematics Subject Classification: 33C10, 34A30, 33B15, 34A25, 34B30, 44A10
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