3 papers
math.CO2025
Double sums associated with binomial transforms
Kunle Adegoke, Robert Frontczak, Karol Gryszka
In this paper, we continue our investigation of double sums where the inner sum is binomial but incomplete. We prove many new results for these types of double sums associated with…
math.CO2025
Double sums involving binomial coefficients and special numbers
Kunle Adegoke, Robert Frontczak, Karol Gryszka
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…
math.CO2025
Finite sums associated with some polynomial identities
Kunle Adegoke, Robert Frontczak, Karol Gryszka
In this paper, we present a general framework for the derivation of interesting finite combinatorial sums starting with certain classes of polynomial identities. The sums that can…