33 citations · 142 across the 42 of their papers we have counts for
6 papers · 1 filter
Some trigonometric integrals involving the log gamma and the digamma function
Donal F. Connon
This paper considers various integrals where the integrand includes the log gamma function (or its derivative, the digamma function) multiplied by a trigonometric or hyperbolic fun…
A generalisation of the Bernoulli numbers from the discrete to the continuous
Donal F. Connon
We generalise the Bernoulli numbers to include the case where the index may be a continuous variable.
Some infinite series involving the Riemann zeta function
Donal F. Connon
This paper considers some infinite series involving the Riemann zeta function.
New rapidly converging series representations for values of the Riemann zeta function and the Dirichlet beta function
Donal F. Connon
In this paper we derive rapidly converging series for Catalan's constant and for Apéry's constant. The method may be easily generalised to produce new series representations for ot…
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.
Various applications of the (exponential) complete Bell polynomials
Donal F. Connon
In a rather straightforward manner, we develop the well-known formula for the Stirling numbers of the first kind in terms of the (exponential) complete Bell polynomials where the a…