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Voorhoeve index : ウィキペディア英語版 | Voorhoeve index In mathematics, the Voorhoeve index is a non-negative real number associated with certain functions on the complex numbers, named after Marc Voorhoeve. It may be used to extend Rolle's theorem from real functions to complex functions, taking the role that for real functions is played by the number of zeros of the function in an interval. ==Definition== The Voorhoeve index of a complex-valued function ''f'' that is analytic in a complex neighbourhood of the real interval = () is given by : (Different authors use different normalization factors.)
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「Voorhoeve index」の詳細全文を読む
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