33 citations · 142 across the 42 of their papers we have counts for
8 papers · 1 filter
On some new formulae involving the Stieltjes constants
Donal F. Connon
We show that the generalised Stieltjes constants may be represented by infinite series involving logarithmic terms. Some relations involving the derivatives of the Hurwitz zeta fun…
Fourier series and periodicity
Donal F. Connon
A large number of the classical texts dealing with Fourier series more or less state that the hypothesis of periodicity is required for pointwise convergence. In this paper, we hig…
On an integral involving the digamma function
Donal F. Connon
We consider several possible approaches to evaluating an integral involving the digamma function and a related logarithmic series.
Some applications of the sine and cosine integrals
Donal F. Connon
We show how the sine and cosine integrals may be usefully employed in the evaluation of some more complex integrals.
Some possible approaches to the Riemann Hypothesis via the Li/Keiper constants
Donal F. Connon
In this paper we consider some possible approaches to the proof of the Riemann Hypothesis using the Li criterion.
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…