Function series
Appearance
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