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Principal part : ウィキペディア英語版
Principal part

In mathematics, the principal part has several independent meanings, but usually refers to the negative-power portion of the Laurent series of a function.
==Laurent series definition==
The principal part at z=a of a function
: f(z) = \sum_^\infty a_k (z-a)^k
is the portion of the Laurent series consisting of terms with negative degree. That is,
: \sum_^ a_k (z-a)^k
is the principal part of f at a .
f(z) has an essential singularity at a, if and only if the principal part is an infinite sum.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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