{"title":"涉及收敛率为 1/64 的三次中心二项式系数的数列","authors":"Chunli Li, Wenchang Chu","doi":"10.1007/s40840-024-01686-4","DOIUrl":null,"url":null,"abstract":"<p>By applying the “coefficient extraction method” to hypergeometric series, we establish several remarkable identities for infinite series of convergence rate <span>\\(\\frac{1}{64}\\)</span> about harmonic numbers and central binomial coefficients, including three conjectured ones made recently by Sun Z-W.\n</p>","PeriodicalId":50718,"journal":{"name":"Bulletin of the Malaysian Mathematical Sciences Society","volume":"20 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Series Involving Cubic Central Binomial Coefficients of Convergence Rate 1/64\",\"authors\":\"Chunli Li, Wenchang Chu\",\"doi\":\"10.1007/s40840-024-01686-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>By applying the “coefficient extraction method” to hypergeometric series, we establish several remarkable identities for infinite series of convergence rate <span>\\\\(\\\\frac{1}{64}\\\\)</span> about harmonic numbers and central binomial coefficients, including three conjectured ones made recently by Sun Z-W.\\n</p>\",\"PeriodicalId\":50718,\"journal\":{\"name\":\"Bulletin of the Malaysian Mathematical Sciences Society\",\"volume\":\"20 1\",\"pages\":\"\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2024-04-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Malaysian Mathematical Sciences Society\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s40840-024-01686-4\",\"RegionNum\":3,\"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":"Bulletin of the Malaysian Mathematical Sciences Society","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s40840-024-01686-4","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Series Involving Cubic Central Binomial Coefficients of Convergence Rate 1/64
By applying the “coefficient extraction method” to hypergeometric series, we establish several remarkable identities for infinite series of convergence rate \(\frac{1}{64}\) about harmonic numbers and central binomial coefficients, including three conjectured ones made recently by Sun Z-W.
期刊介绍：
This journal publishes original research articles and expository survey articles in all branches of mathematics. Recent issues have included articles on such topics as Spectral synthesis for the operator space projective tensor product of C*-algebras; Topological structures on LA-semigroups; Implicit iteration methods for variational inequalities in Banach spaces; and The Quarter-Sweep Geometric Mean method for solving second kind linear fredholm integral equations.
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