5 citations · 16 across the 41 of their papers we have counts for
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New Generalizations of Two Ramanujan Series for
Kunle Adegoke
By utilizing two hypergeometric summation identities we extend two well-known Ramanujan series for by making each of them a member of an infinite family of series. We also fi…
A Short Proof of Knuth's Old Sum
Kunle Adegoke
We give a short proof of the well-known Knuth's old sum and provide some generalizations. Our approach utilizes the binomial theorem and integration formulas derived using the Beta…
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…