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

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