谐波数和五个中心二项式系数的求和公式

IF 0.6 4区数学 Q3 MATHEMATICS

Mathematical Notes Pub Date : 2024-03-12 DOI:10.1134/s0001434623110627

Chunli Li, Wenchang Chu

引用次数: 0

摘要

摘要通过对超几何级数应用 "系数提取法"，我们建立了关于谐波数和五个二项式系数的几个显著的无穷级数同余式，其中包括 Z.-W. Sun 提出的三个猜想。Sun.

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Summation Formulas on Harmonic Numbers and Five Central Binomial Coefficients

Abstract

By applying the “coefficient extraction method” to hypergeometric series, we establish several remarkable infinite series identities about harmonic numbers and five binomial coefficients, including three conjectured by Z.-W. Sun.

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来源期刊

Mathematical Notes 数学-数学

CiteScore

0.90

自引率

16.70%

发文量

179

审稿时长

24 months

期刊介绍： Mathematical Notes is a journal that publishes research papers and review articles in modern algebra, geometry and number theory, functional analysis, logic, set and measure theory, topology, probability and stochastics, differential and noncommutative geometry, operator and group theory, asymptotic and approximation methods, mathematical finance, linear and nonlinear equations, ergodic and spectral theory, operator algebras, and other related theoretical fields. It also presents rigorous results in mathematical physics.