13 citations · 75 across the 82 of their papers we have counts for
84 papers
New Generalizations of Two Ramanujan Series for
Kunle Adegoke
By utilizing two known hypergeometric summation identities, we extend two \mbox{well-known} Ramanujan series for by making each of them a member of an infinite family of seri…
On Series Involving Cubed Catalan Numbers
Kunle Adegoke
Using generalized binomial coefficient identities and some results of John Dougall, we derive some families of series involving the cubes of Catalan numbers. We also establish a fa…
On Touchard's Identity: Generalizations and Related Results
Kunle Adegoke
Starting with a known polynomial identity, we derive two generalizations of Touchard's identity concerning Catalan numbers; one obtained using the Beta function and the other via a…
Applications of an identity of Batır
Kunle Adegoke, Robert Frontczak
Based on an interesting identity of Batır we derive new identities for double sums involving famous number sequences. We also prove some double sum identities for binomial transfor…
Double sums associated with binomial transforms
Kunle Adegoke, Robert Frontczak, Karol Gryszka
In this paper, we continue our investigation of double sums where the inner sum is binomial but incomplete. We prove many new results for these types of double sums associated with…
Double sums involving binomial coefficients and special numbers
Kunle Adegoke, Robert Frontczak, Karol Gryszka
In this paper, we find an elementary approach for double sums where the inner sum is binomial but incomplete. We apply our core identity and its relatives to double sums involving…