An identity for the infinite sum $\sum_{n=0}^\infty\frac{1}{(n!)^3}$

Hassan Jolany (1)

1 LPP - Laboratoire Paul Painlevé - UMR 8524

In this note, we give an identity for the alpha function \alpha(x, s) = \sum_{n=0}^\infty \frac{x^n}{ (n!)^s} , where $s \in \mathbb N, x \in\mathbb R$, in the case $s = 3$.

Domaines: Mathématiques [math]; Mathématiques générales [math.GM]

Hassan Jolany. An identity for the infinite sum $\sum_{n=0}^\infty\frac{1}{(n!)^3}$. 2018. ⟨hal-01858817⟩