涉及收敛率为 1/64 的三次中心二项式系数的数列

IF 1 3区数学 Q1 MATHEMATICS

Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-04-16 DOI:10.1007/s40840-024-01686-4

Chunli Li, Wenchang Chu

引用次数: 0

摘要

通过将 "系数提取法 "应用于超几何级数，我们建立了关于谐波数和中心二项式系数的收敛率 \(\frac{1}{64}\)的无穷级数的几个显著等式，其中包括孙子伟最近提出的三个猜想。

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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.

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来源期刊

Bulletin of the Malaysian Mathematical Sciences Society 数学-数学

CiteScore

2.40

自引率

8.30%

发文量

176

审稿时长

3 months

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.