Watson-type 3F2-series and summation formulae involving generalized harmonic numbers
Chuanan Wei
TL;DR
This paper derives new summation formulas involving generalized harmonic numbers using Watson-type $_3F_2$-series identities and derivative operators.
Contribution
It introduces three new families of summation formulas involving generalized harmonic numbers based on Watson-type $_3F_2$-series identities.
Findings
Established three families of summation formulas involving generalized harmonic numbers.
Connected Watson-type $_3F_2$-series identities with harmonic number summations.
Provided new tools for evaluating series with harmonic numbers.
Abstract
In terms of the derivative operator and Watson-type -series identities, three families of summation formulae involving generalized harmonic numbers are established.
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Taxonomy
TopicsAdvanced Mathematical Identities · Mathematical functions and polynomials · Advanced Combinatorial Mathematics