Series of Functions
An enumerated infinite sum of functions, converging at exactly those points where the numerical series of values converges.
Definition 5.2 (Series of Functions)
Let be a sequence of complex-valued functions. We call the enumerated sum
a series of complex-valued functions on .
If, for each , the numerical series converges, we can define a function such that
Related
Stated in
- Definition 5.2 (Series of Functions)§5.1 Introduction