Regular part

In mathematics, the regular part of a Laurent series consists of the series of terms with positive powers.[1] That is, if

f(z) = \sum_{n=-\infty}^{\infty} a_n (z - c)^n,

then the regular part of this Laurent series is

\sum_{n=0}^{\infty} a_n (z - c)^n.

In contrast, the series of terms with negative powers is the principal part.[1]

References

  1. ↑ 1.0 1.1 Jeffrey, Alan (2005), Complex Analysis and Applications (2nd ed.), CRC Press, p. 256, ISBN 9781584885535.