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Mittag-Leffler star : ウィキペディア英語版 | Mittag-Leffler star In complex analysis, a branch of mathematics, the Mittag-Leffler star of a complex-analytic function is a set in the complex plane obtained by attempting to extend that function along rays emanating from a given point. This concept is named after Gösta Mittag-Leffler. ==Definition and elementary properties== Formally, the Mittag-Leffler star of a complex-analytic function ''ƒ'' defined on an open disk ''U'' in the complex plane centered at a point ''a'' is the set of all points ''z'' in the complex plane such that ''ƒ'' can be continued analytically along the line segment joining ''a'' and ''z'' (see analytic continuation along a curve). It follows from the definition that the Mittag-Leffler star is an open star-convex set (with respect to the point ''a'') and that it contains the disk ''U''. Moreover, ''ƒ'' admits a single-valued analytic continuation to the Mittag-Leffler star.
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「Mittag-Leffler star」の詳細全文を読む
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