I have read about how to define a recursive function using RecurrenceTable
but for $u(100)$ you need all 99 previous terms. The posts doesn't help me. I want to define in mathematica this function:
$$ u(n) = u_0 + \frac{\mu}{\Gamma(\nu)} \sum_{i=1}^n \frac{\Gamma(n-i+\nu)}{\Gamma(n-i+1)} u(i-1)(1-u(i-1)), $$ where $\Gamma(x)$ is the Euler gamma function and $\mu$ and $\nu$ are positive numbers.
Can anybody help me?