On convolution powers of 1/x
Convolution powers of $1/x$ are transformed into functions $f_n$, which satisfy a simple recurrence relation. Solutions are characterized and analyzed.
math.CO↗
arXiv subjects
Andreas B. G. Blobel
Publications and source records attributed to Andreas B. G. Blobel.
A triangular field of rational numbers related to Stirling numbers and Hyperbolic functions
A triangular field of rational numbers is characterized, with relations to Stirling numbers 2nd, Hyperbolic functions, and centered Binomial distribution. A Generating function is given.
math.NT↗
An Asymptotic Form of the Generating Function $\prod_{k=1}^\infty (1+x^k/k)$
It is shown that the sequence of rational numbers $r(k)$ generated by the ordinary generating function $\prod_{k=1}^\infty (1+x^k/k)$ converges to a limit $C > 0$. $C$ can be expressed as $C = \exp\Bigl(-\sum_{k = 2}^\infty \frac{(-1)^k}{k}\ ζ(k) \Bigr)$ where $ζ()$ denotes the Riemann zeta function.
math.CO↗