Power series with inverse binomial coefficients and harmonic numbers
Khristo N. Boyadzhiev
TL;DR
This paper develops generating functions involving inverse binomial coefficients and harmonic numbers, providing new mathematical tools for analyzing these special sequences.
Contribution
It introduces a novel generating function for products of inverse central binomial coefficients and harmonic numbers, expanding the analytical methods available.
Findings
Derived explicit generating functions for the sequences
Connected harmonic numbers with inverse binomial coefficient products
Provided potential applications in combinatorics and number theory
Abstract
We construct the generating function for products of inverse central binomial coefficients with harmonic numbers.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Mathematical functions and polynomials