In calculus, a function series is a series, where the summands are not just real or complex numbers but functions.
Examples edit
Examples of function series include power series, Laurent series, Fourier series, etc.
Convergence edit
There exist many types of convergence for a function series, such as uniform convergence, pointwise convergence, almost everywhere convergence, etc.
The Weierstrass M-test is a useful result in studying convergence of function series.
See also edit
References edit
- Chun Wa Wong (2013) Introduction to Mathematical Physics: Methods & Concepts Oxford University Press p. 655