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math.GM2025
Fibonacci-harmonic sums
Kunle Adegoke, Segun Olofin Akerele, Robert Frontczak
We offer several new summation identities involving harmonic numbers, odd harmonic numbers, and Fibonacci numbers. Our results are derived using three different approaches: partial…
math.GM2025
An Addendum to Plouffe's Ramanujan Identities
Segun Olofin Akerele
We introduce a new class of polylogarithm sums closely related to a family studied by L. Vepštas in 2010. These generalized sums depend on two free parameters and yield closed-form…
math.GM2024
Convolutions of second order sequences: A direct approach
Kunle Adegoke, Segun Olofin Akerele, Robert Frontczak
Using a direct algebraic approach we derive convolution identities for second order sequences, hereby distinguishing between sequences obeying the same or different recurrence rela…