4 papers
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…
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…
Explicit Identities and new results for Infinite Series associated with the Ratio of Central Binomial Coefficients
Yao Mawugna Dzokotoe, Segun Olofin Akerele
We investigate some classes of infinite series involving central binomial coefficients, particularly focusing on those arising from ratios such as $\binom{2n}{n}\binom{4n}{2n}^{-1}…
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…