{"title":"关于第二类nielsen - kuznetsov函数泰勒级数表示的注记","authors":"M. Hamdan, T. Alderson","doi":"10.37394/232020.2022.2.18","DOIUrl":null,"url":null,"abstract":"Taylor and Maclaurin series, and polynomial approximations of the Standard Nield-Kuznetsov function of the second kind are obtained in this work. Convergence and error criteria are developed. The obtained series represent alternatives to existing asymptotic and ascending series approximations of this integral function, and are expected to provide an efficient method of computation.","PeriodicalId":93382,"journal":{"name":"The international journal of evidence & proof","volume":"4 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2022-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Note on Taylor Series Representation of the Nield-Kuznetsov Function of the Second Kind\",\"authors\":\"M. Hamdan, T. Alderson\",\"doi\":\"10.37394/232020.2022.2.18\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Taylor and Maclaurin series, and polynomial approximations of the Standard Nield-Kuznetsov function of the second kind are obtained in this work. Convergence and error criteria are developed. The obtained series represent alternatives to existing asymptotic and ascending series approximations of this integral function, and are expected to provide an efficient method of computation.\",\"PeriodicalId\":93382,\"journal\":{\"name\":\"The international journal of evidence & proof\",\"volume\":\"4 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2022-06-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The international journal of evidence & proof\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37394/232020.2022.2.18\",\"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 international journal of evidence & proof","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37394/232020.2022.2.18","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Note on Taylor Series Representation of the Nield-Kuznetsov Function of the Second Kind
Taylor and Maclaurin series, and polynomial approximations of the Standard Nield-Kuznetsov function of the second kind are obtained in this work. Convergence and error criteria are developed. The obtained series represent alternatives to existing asymptotic and ascending series approximations of this integral function, and are expected to provide an efficient method of computation.
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