6 citations · 20 across the 39 of their papers we have counts for
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Fibonacci sums and divisibility properties
Kunle Adegoke, Robert Frontczak
Based on a variant of Sury's polynomial identity we derive new expressions for various finite Fibonacci (Lucas) sums. We extend the results to Fibonacci and Chebyshev polynomials,…
Binomial sum relations involving Fibonacci and Lucas numbers
Kunle Adegoke, Robert Frontczak, Taras Goy
In this paper, we introduce relations between binomial sums involving (generalized) Fibonacci and Lucas numbers, and different kinds of binomial coefficients. We also present some…
Binomial Fibonacci sums from Chebyshev polynomials
Kunle Adegoke, Robert Frontczak, Taras Goy
We explore new types of binomial sums with Fibonacci and Lucas numbers. The binomial coefficients under consideration are and $\frac{k}{n+k}\binom{n…
On some series involving the binomial coefficients
Kunle Adegoke, Robert Frontczak, Taras Goy
Using a simple transformation, we obtain much simpler forms for some series involving binomial coefficients derived by Necdet Batir. New evaluations are given; and co…
A series of Ramanujan, two-term dilogarithm identities and some Lucas series
Kunle Adegoke, Robert Frontczak
We study an elementary series that can be considered a relative of a series studied by Ramanujan in Part 1 of his Lost Notebooks. We derive a closed form for this series in terms o…
On a problem of Mező and its generalizations to three classes of rational zeta series
Kunle Adegoke, Robert Frontczak, Taras Goy
We evaluate in closed form three special classes of alternating zeta series with one and two additional parameters. Two classes are expressed as linear combinations of polylogarith…
Series and sums involving the floor function
Kunle Adegoke, Robert Frontczak, Taras Goy
Let be an arbitrary sequence and its dual floor sequence. We study infinite series and finite generalized binomial sums invo…