6 citations · 15 across the 8 of their papers we have counts for
9 papers
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…
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…
Reciprocal series involving Horadam numbers
Kunle Adegoke, Robert Frontczak, Taras Goy
We evaluate some new three parameter families of finite reciprocal sums involving Horadam numbers. We will also be able to state the results for the infinite sums. Some Fibonacci a…
Chebyshev-Fibonacci polynomial relations using generating functions
Robert Frontczak, Taras Goy
The main object of the paper is to reveal connections between Chebyshev polynomials of the first and second kinds and Fibonacci polynomials introduced by Catalan. This is achieved…
Lucas-Euler relations using balancing and Lucas-balancing polynomials
Robert Frontczak, Taras Goy
We establish some new combinatorial identities involving Euler polynomials and balancing (Lucas-balancing) polynomials. The derivations use elementary techniques and are based on f…