Regular part

Regular 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.


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