2 citations · 3 across the 9 of their papers we have counts for
9 papers
Evaluation of some alternating series involving the binomial coefficients
Kunle Adegoke, Robert Frontczak, Taras Goy
We evaluate in closed form several alternating infinite series involving the binomial coefficients and in the denominator. One of our results generalizes…
Combinatorial sums, series and integrals involving odd harmonic numbers
Kunle Adegoke, Robert Frontczak, Taras Goy
We present several types of ordinary generating functions involving central binomial coefficients, harmonic numbers, and odd harmonic numbers. Our results complement those of Boyad…
Fibonacci sums modulo 5
Kunle Adegoke, Robert Frontczak, Taras Goy
We develop closed form expressions for various finite binomial Fibonacci and Lucas sums depending on the modulo 5 nature of the upper summation limit. Our expressions are inferred…
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…