The generating function of sequence $a_n$ is known. How to evaluate the number (or density) of term "0" in $\{a_n\}$?

46 Views Asked by At

If the generating function of $\{a_n\}$ is $\displaystyle A(x)=\sum^\infty_{k=0}a_kx^k$, how can we use $A(x)$ to calculate or estimate the number (or density) of term "0" in $\{a_n\}$?