6 citations · 20 across the 39 of their papers we have counts for
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Some notes on a Fibonacci-Lucas identity
Kunle Adegoke, Robert Frontczak, Taras Goy
In 2016, Edgar and, independently of him, Bhatnagar sta\-ted a nice polynomial identity that connects Fibonacci and Lucas numbers. Shortly after their publications, this identity h…
The integrals in Gradshteyn and Ryzhik. Part 1: An Addendum
Kunle Adegoke, Robert Frontczak, Taras Goy
We present another generalization of a logarithmic integral studied by V.~H. Moll in 2007. The family of integrals contains three free parameter and its evaluation involves the har…
Balancing polynomials, Fibonacci numbers and some new series for
Robert Frontczak, Kalika Prasad
We evaluate some types of infinite series with balancing and Lucas-balancing polynomials in closed form. These evaluations will lead to some new curious series for involving Fi…
Additional Fibonacci-Bernoulli relations
Kunle Adegoke, Robert Frontczak, Taras Goy
We continue our study on relationships between Fibonacci (Lucas) numbers and Bernoulli numbers and polynomials. The derivations of our results are based on functional equations for…
Fibonacci-Catalan Series
Kunle Adegoke, Robert Frontczak, Taras Goy
We study certain series with Catalan numbers and reciprocal Catalan numbers, respectively, and provide seemingly new closed form evaluations of these series with Fibonacci (Lucas)…
On a family of infinite series with reciprocal Catalan numbers
Kunle Adegoke, Robert Frontczak, Taras Goy
We study a certain family of infinite series with reciprocal Catalan numbers. We first evaluate two special candidates of the family in closed form, where we also present some Cata…