Function series

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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]

As for sequences of functions, and unlike for series of numbers, 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