Summation formulas involving generalized harmonic numbers
Chuanan Wei, Xiaoxia Wang
TL;DR
This paper derives new summation formulas involving generalized harmonic numbers using derivative operators and hypergeometric series identities, expanding the mathematical understanding of harmonic number summations.
Contribution
It introduces novel summation formulas for generalized harmonic numbers based on hypergeometric series and derivative techniques, providing new tools for mathematical analysis.
Findings
New summation formulas involving generalized harmonic numbers
Connections established between harmonic numbers and hypergeometric series
Potential applications in mathematical analysis and number theory
Abstract
In terms of the derivative operator and three hypergeometric series identities, several interesting summation formulas involving generalized harmonic numbers are established.
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Taxonomy
TopicsAdvanced Mathematical Identities · Mathematical functions and polynomials · Advanced Mathematical Theories and Applications