Double sums involving binomial coefficients and special numbers

2025/10/28 by Adegoke, Kunle, Frontczak, Robert, Gryszka, Karol · 1 citation
#11B39 #11B65 #11B73 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2510.25792

Abstract

In this paper, we find an elementary approach for double sums where the inner sum is binomial but incomplete. We apply our core identity and its relatives to double sums involving famous numbers such as harmonic numbers, Fibonacci numbers, Stirling numbers and r-Stirling numbers of the second kind.

Citations

• Finite sums associated with some polynomial identities
• Some notes on an identity of Frisch
• Some Double Sums Involving Ratios of Binomial Coefficients Arising From Urn Models
• A Telescoping method for Double Summations

Cited by

• Double sums associated with binomial transforms

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