there are several method to provide solve recurrence problems in Maple,such as define ,rsolve,etc.here ,i meet a problem.
i want to compute the function Gamma(n), if n is a posint ,only given recurrence relation f(z)=(z-1)f(z-1),initial condition,f(0)=1,then i can get the true result with rsolve,of couse,i had made an ansatz that z is n::posint.yet ,z is not posint? To suppose z equal to 5/2, (2*n+1)/2 more generally,how can get the answer((2n-1)!!*Pi/2^n).