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In complex analysis, a zero (sometimes called a root) of a holomorphic function ''f'' is a complex number ''a'' such that ''f''(''a'') = 0. ==Multiplicity of a zero== A complex number ''a'' is a simple zero of ''f'', or a zero of multiplicity 1 of ''f'', if ''f'' can be written as : where ''g'' is a holomorphic function ''g'' such that ''g''(''a'') is not zero. Generally, the multiplicity of the zero of ''f'' at ''a'' is the positive integer ''n'' for which there is a holomorphic function ''g'' such that : The multiplicity of a zero ''a'' is also known as the order of vanishing of the function at ''a''. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Zero (complex analysis)」の詳細全文を読む スポンサード リンク
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