Regular part
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In mathematics, the regular part of a Laurent series consists of the series of terms with positive powers. 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.
In mathematics, the regular part of a Laurent series consists of the series of terms with positive powers. 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. ==References==
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