33 citations · 142 across the 42 of their papers we have counts for
42 papers
A Ramanujan enigma: Part 2
Donal F Connon
In his book entitled Divergent Series, Hardy makes various references to divergent series of sine functions. In this paper, we show how such series may be treated rigorously and, i…
Some exponential and trigonometric integrals involving the log gamma function
Donal F. Connon
This paper considers some integrals where the integrand comprises the log gamma function or the digamma function multiplied by exponential or trigonometric functions.
A new representation of the Stieltjes constants
Donal F. Connon
We present a new representation of the Stieltjes constants in the form of a limit of a Fourier series.
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…
A Ramanujan enigma involving the first Stieltjes constant
Donal F. Connon
We provide a rigorous formulation of Entry 17(v) in Ramanujan's Notebooks and show how this relates to the first Stieltjes constant. A new proposition 4.5 is included to show the c…
On the generalized Bernoulli numbers
Donal F. Connon
We derive an expression for the generalized Bernoulli numbers in terms of the Bernoulli numbers involving the (exponential) complete Bell polynomials.