Function series

Incalculus,afunction seriesis aseries,where the summands are not justrealorcomplex numbersbutfunctions.

Examples

Examples of function series includepower series,Laurent series,Fourier series,etc.

Convergence

There exist many types ofconvergencefor a function series, such asuniform convergence,pointwise convergence,almost everywhereconvergence, etc.

TheWeierstrass M-testis a useful result in studying convergence of function series.

See also

• Function space

References

• Chun Wa Wong (2013)Introduction to Mathematical Physics: Methods & ConceptsOxford University Press p. 655