{"title":"广义函数到序列变换的应用","authors":"Slobodan Trickovic, M. Stankovic","doi":"10.2298/aadm210917004t","DOIUrl":null,"url":null,"abstract":"We deal with applications of the transform T? we introduced in our paper On a generalized function-to-sequence transform, Appl. Anal. Disc. Math. Vol. 14 No 2 (2020) 300-316. Taking different sequences {?n}n?N0 linked to a generalized linear difference operator D? gives rise to a family of transforms T? that enables the mapping of a differential equation and its solutions to a difference equation and its solutions. It can map a differential operator to a difference one as well.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Applications of the generalized function-to-sequence transform\",\"authors\":\"Slobodan Trickovic, M. Stankovic\",\"doi\":\"10.2298/aadm210917004t\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We deal with applications of the transform T? we introduced in our paper On a generalized function-to-sequence transform, Appl. Anal. Disc. Math. Vol. 14 No 2 (2020) 300-316. Taking different sequences {?n}n?N0 linked to a generalized linear difference operator D? gives rise to a family of transforms T? that enables the mapping of a differential equation and its solutions to a difference equation and its solutions. It can map a differential operator to a difference one as well.\",\"PeriodicalId\":51232,\"journal\":{\"name\":\"Applicable Analysis and Discrete Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applicable Analysis and Discrete Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2298/aadm210917004t\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applicable Analysis and Discrete Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2298/aadm210917004t","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Applications of the generalized function-to-sequence transform
We deal with applications of the transform T? we introduced in our paper On a generalized function-to-sequence transform, Appl. Anal. Disc. Math. Vol. 14 No 2 (2020) 300-316. Taking different sequences {?n}n?N0 linked to a generalized linear difference operator D? gives rise to a family of transforms T? that enables the mapping of a differential equation and its solutions to a difference equation and its solutions. It can map a differential operator to a difference one as well.
期刊介绍：
Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).
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