I know how to write the composition of two functions: $f\circ g$ but I don't know whether there's a standard symbol for a sequence (similar to $\sum_i{f_i}$, $\prod_i{f_i}$ or $\bigotimes_i{f_i}$, etc.).
How would you write it?
edit: Would you understand $\bigcirc_i{f_i}$ without explanation?