A. Blobel

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20192022

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math.CO2022

On convolution powers of 1/x

Andreas B. G. Blobel

Convolution powers of $1/ x$ are transformed into functions $f_{n}$ , which satisfy a simple recurrence relation. Solutions are characterized and analyzed.

math.CO2019

An Asymptotic Form of the Generating Function $\prod_{k = 1}^{\infty} (1 + x^{k} / k)$

Andreas B. G. Blobel

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 expre…

On convolution powers of 1/x

An Asymptotic Form of the Generating Function ∏k=1∞​(1+xk/k)

An Asymptotic Form of the Generating Function $\prod_{k = 1}^{\infty} (1 + x^{k} / k)$