{{Short description|(of a Laurent series) consists of the series of terms with positive powers}} {{one source|date=April 2025}} {{Use dmy dates|date=April 2025}} In mathematics, the '''regular part''' of a Laurent series consists of the series of terms with positive powers.<ref name="caa">{{citation|title=Complex Analysis and Applications|first=Alan|last=Jeffrey|edition=2nd|publisher=CRC Press|year=2005|isbn=9781584885535|page=256|url=https://books.google.com/books?id=O039eVfuV04C&pg=PA256}}.</ref> That is, if :<math>f(z) = \sum_{n=-\infty}^{\infty} a_n (z - c)^n,</math> then the regular part of this Laurent series is :<math>\sum_{n=0}^{\infty} a_n (z - c)^n.</math>
In contrast, the series of terms with negative powers is the principal part.<ref name="caa"/>
==References== {{reflist}}
{{DEFAULTSORT:Regular Part}} Category:Complex analysis
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