{"title":"关于q2三角函数及其q2傅立叶变换","authors":"S. Arjika","doi":"10.17265/2159-5291/2019.05.003","DOIUrl":null,"url":null,"abstract":"In this paper, we first construct generalized $q^2$-cosine, $q^2$-sine and $q^2$-exponential functions. We then use $q^2$-exponential function in order to define and investigate a $q^2$-Fourier transform. We establish $q$-analogues of inversion and Plancherel theorems.","PeriodicalId":61124,"journal":{"name":"数学和系统科学:英文版","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On q2-Trigonometric Functions and Their q2-Fourier Transform\",\"authors\":\"S. Arjika\",\"doi\":\"10.17265/2159-5291/2019.05.003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we first construct generalized $q^2$-cosine, $q^2$-sine and $q^2$-exponential functions. We then use $q^2$-exponential function in order to define and investigate a $q^2$-Fourier transform. We establish $q$-analogues of inversion and Plancherel theorems.\",\"PeriodicalId\":61124,\"journal\":{\"name\":\"数学和系统科学:英文版\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-05-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"数学和系统科学:英文版\",\"FirstCategoryId\":\"1089\",\"ListUrlMain\":\"https://doi.org/10.17265/2159-5291/2019.05.003\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"数学和系统科学:英文版","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.17265/2159-5291/2019.05.003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On q2-Trigonometric Functions and Their q2-Fourier Transform
In this paper, we first construct generalized $q^2$-cosine, $q^2$-sine and $q^2$-exponential functions. We then use $q^2$-exponential function in order to define and investigate a $q^2$-Fourier transform. We establish $q$-analogues of inversion and Plancherel theorems.
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