Is there a name for the square matrix ($j=0...n$, $k=0...n$)
$M_{jk} = j^k$
(with special case $M_{00}:=1$) and is there a closed general formula for its inverse?
I have stumbled upon this while trying to find alternative discretizations of continuous transfer functions in digital signal processing theory. Does anyone know any other specific contexts where this matrix occurs? I am asking because this looks so familiar to me, but I can't remember where I have seen it.