noun
analyticity
Mathematical term referring to the property of a function being analytic (locally representable by a convergent power series).
複素関数の解析性はコーシー・リーマンの方程式で特徴付けられる。
The analyticity of a complex function is characterized by the Cauchy-Riemann equations.
Compound of 解析 (かいせき, 'analysis') + 性 (せい, '-ity, property'). The exact historical derivation is uncertain; the term is used in modern mathematics.