Regular part
From HandWiki
In mathematics, the regular part of a Laurent series consists of the series of terms with positive powers.[1] That is, if
- [math]\displaystyle{ f(z) = \sum_{n=-\infty}^{\infty} a_n (z - c)^n, }[/math]
then the regular part of this Laurent series is
- [math]\displaystyle{ \sum_{n=0}^{\infty} a_n (z - c)^n. }[/math]
In contrast, the series of terms with negative powers is the principal part.[1]
References
- ↑ 1.0 1.1 Jeffrey, Alan (2005), Complex Analysis and Applications (2nd ed.), CRC Press, p. 256, ISBN 9781584885535, https://books.google.com/books?id=O039eVfuV04C&pg=PA256.
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