Is there a closed-form expression for series of the type
$\displaystyle
\sum_{n=1}^\infty n^t \cdot r ^ {n - 1}
$
Where |r| < 1 and t is a positive integer?
Is there a name for this type of series? A special case of hypergeometric?
Thanks!
Is there a closed-form expression for series of the type
$\displaystyle
\sum_{n=1}^\infty n^t \cdot r ^ {n - 1}
$
Where |r| < 1 and t is a positive integer?
Is there a name for this type of series? A special case of hypergeometric?
Thanks!