{"title":"用参数表示函数的级数","authors":"K. Boyadzhiev","doi":"10.20948/mathmontis-2022-54-1","DOIUrl":null,"url":null,"abstract":"We prove a short general theorem which immediately implies some classical results of Hasse, Guillera and Sondow, Paolo Amore, and also Alzer and Richards. At the end we obtain a new representation for Euler’s constant γ. The theorem transforms every Taylor series into a series depending on a parameter.","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"246 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Representation of functions in series with parameter\",\"authors\":\"K. Boyadzhiev\",\"doi\":\"10.20948/mathmontis-2022-54-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove a short general theorem which immediately implies some classical results of Hasse, Guillera and Sondow, Paolo Amore, and also Alzer and Richards. At the end we obtain a new representation for Euler’s constant γ. The theorem transforms every Taylor series into a series depending on a parameter.\",\"PeriodicalId\":170315,\"journal\":{\"name\":\"Mathematica Montisnigri\",\"volume\":\"246 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica Montisnigri\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.20948/mathmontis-2022-54-1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Montisnigri","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.20948/mathmontis-2022-54-1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Representation of functions in series with parameter
We prove a short general theorem which immediately implies some classical results of Hasse, Guillera and Sondow, Paolo Amore, and also Alzer and Richards. At the end we obtain a new representation for Euler’s constant γ. The theorem transforms every Taylor series into a series depending on a parameter.
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