6 citations · 19 across the 36 of their papers we have counts for
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Abel-Type Transformations and Telescoping Structures in Reciprocal Series of Second-Order Linear Recurrences
Kunle Adegoke, Robert Frontczak, Taras Goy
We develop a unified method for transforming and evaluating infinite series involving products of terms of second-order linear recurrences in the denominator. The approach is based…
A combinatorial sum with two complex parameters
Michel Bataille, Robert Frontczak
This article deals with combinatorial identities with two complex parameters. Starting with a fundamental lemma, we derive various polynomial identities, combinatorial sums and rel…
Evaluation of harmonic number series involving the binomial coefficient in the denominator by integration
Kunle Adegoke, Robert Frontczak
Two classes of infinite series involving harmonic numbers and the binomial coefficient are evaluated in closed form using integrals. Several remarkable integral values an…
Series associated with a forgotten identity of Nörlund
Kunle Adegoke, Robert Frontczak
We apply a seemingly forgotten series expression of Nörlund for the psi function to express infinite series involving inverse factorials in closed form. Many of such series contain…
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…
Integration Formulas Involving Fibonacci and Lucas Numbers
Kunle Adegoke, Robert Frontczak
We present a range of difficult integration formulas involving Fibonacci and Lucas numbers and trigonometric functions. These formulas are often expressed in terms of special funct…