Sequences of Functions

Abstract

As it was made for sequences of numbers, we extend this definition to the set of indices n such that $n\in \mathbb {N}_0=\{k_1, k_2=k_1+1, k_3=k_2+1, \ldots , k_{i+1}=k_i+1, \ldots \}$, where $k_1\in \mathbb {Z}$.

Newton considered the sequence of functions … whereas Wallis had only considered the sequence of numbers. Charles Henry Edwards, 1979