A class of summation formulas on generalized harmonic numbers
Chuanan Wei, Dianxuan Gong, Qinglun Yan
TL;DR
This paper introduces a new class of summation formulas involving generalized harmonic numbers, derived by combining derivative operators with Chu-Vandermonde convolution techniques.
Contribution
It presents novel summation formulas on generalized harmonic numbers using a combination of derivative operators and Chu-Vandermonde convolution.
Findings
Derived new summation formulas for generalized harmonic numbers
Established connections between derivatives and convolution techniques
Provided potential applications in combinatorics and number theory
Abstract
Combining the derivative operator with Chu-Vandermonde convolution, we establish a class of summation formulas on generalized harmonic numbers.
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Taxonomy
TopicsAdvanced Mathematical Identities · Mathematical functions and polynomials · Analytic Number Theory Research