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I would love some help on calculating the following sum for [itex]\alpha, \beta \in \mathbb{N}[/itex] and [itex]n \in \mathbb{N} \backslash \{0\}[/itex]:

[itex]\displaystyle\sum_{i=1}^{n-1}i^{\alpha}(n-i)^{\beta}.[/itex]

Thanks in advance,

Latrace