The following functions are from a book What is the method to convert continuous function to discrete function
Maple code
ContinuousFunction1 := sqrt(2*p)/(s+p);
ContinuousFunction_i := sqrt(2*p)*((s-p)^(i-1))/(s+p)^i;
DiscreteFunction1 := sqrt(1-a^2)/(1-a/z)
DiscreteFunctionN := sqrt(1-a^2)/(1-a/z)*((1/z-a)/(1-a/z))^(N-1)
