33 citations · 46 across the 13 of their papers we have counts for
13 papers
A summation by Gencev
Donal F. Connon
Gencev has recently reported a closed form summation for an infinite series involving the harmonic numbers and the central binomial numbers. This note indicates a possible approach…
Some applications of the Beta function
Donal F. Connon
This short note deals with some applications of the Beta function
Euler sums and a prime numbers conundrum
Donal F. Connon
This note highlights an interesting connection between Euler sums of even weight and prime numbers.
Euler-Hurwitz series and non-linear Euler sums
Donal F. Connon
In this paper we derive two expressions for the Hurwitz zeta function involving the complete Bell polynomials in the restricted case where q is a positive integer greater than 1. T…
Determination of some generalised Euler sums involving the digamma function
Donal F. Connon
This paper evaluates some generalised Euler sums involving the digamma function.
Elementary evaluations of some Euler sums
Donal F. Connon
This short note contains elementary evaluations of some Euler sums.