{"title":"用拉普拉斯变换构造广义积分公式","authors":"Adam C Buss","doi":"10.14434/IUJUR.V2I1.20922","DOIUrl":null,"url":null,"abstract":"We present a method for the construction of integral identities that contain an undetermined function. Except for mild restrictions, this function can be chosen arbitrarily. Our method is illustrated by several examples leading to new integral identities.","PeriodicalId":22986,"journal":{"name":"The Journal of Undergraduate Research","volume":"10 1","pages":"36-40"},"PeriodicalIF":0.0000,"publicationDate":"2016-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Construction of Generalized Integral Formulas by Means of Laplace Transformations\",\"authors\":\"Adam C Buss\",\"doi\":\"10.14434/IUJUR.V2I1.20922\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a method for the construction of integral identities that contain an undetermined function. Except for mild restrictions, this function can be chosen arbitrarily. Our method is illustrated by several examples leading to new integral identities.\",\"PeriodicalId\":22986,\"journal\":{\"name\":\"The Journal of Undergraduate Research\",\"volume\":\"10 1\",\"pages\":\"36-40\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-05-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The Journal of Undergraduate Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.14434/IUJUR.V2I1.20922\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Journal of Undergraduate Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14434/IUJUR.V2I1.20922","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Construction of Generalized Integral Formulas by Means of Laplace Transformations
We present a method for the construction of integral identities that contain an undetermined function. Except for mild restrictions, this function can be chosen arbitrarily. Our method is illustrated by several examples leading to new integral identities.