mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...

, the regular part of a

Laurent series In mathematics, the Laurent series of a complex function f(z) is a representation of that function as a power series which includes terms of negative degree. It may be used to express complex functions in cases where a Taylor series expansio ...

consists of the series of terms with positive powers.. That is, if :

f(z) = \sum_^ a_n (z - c)^n,

then the regular part of this Laurent series is :

\sum_^ a_n (z - c)^n.

In contrast, the series of terms with negative powers is the principal part.

References

Complex analysis {{mathanalysis-stub