A class of summation formulas on generalized harmonic numbers

2012/03/13 by Chuanan Wei, Wei, Chuanan, Dianxuan Gong +3
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1203.2866

openalex publication_date 2012/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Combining the derivative operator with Chu-Vandermonde convolution, we establish a class of summation formulas on generalized harmonic numbers.

Related

• Summation formulas involving generalized harmonic numbers
• Summation formulas involving harmonic numbers with even or odd indexes
• A family of summation formulas involving generalized harmonic numbers
• Chu-Vandermonde convolution and harmonic number identities
• Saalschütz's theorem and summation formulae involving generalized harmonic numbers