On Canonical Functions and Conformal Mappings (In Commemoration of the 110th Anniversary of the Founding of Momoyama Gakuin)

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概要

• 論文の詳細を見る

• Another formulation of the existence theorem of canonical (meromorphic) functions on open Riemann surfaces is shown. Geometrically it implies that for given integer n[>!_]max(2g, 1) and a point p of Riemann surface R of genus g(0[<!_]g<∞ there exist a pair of conformal mappings (normalized at pole p) of R to an n-sheeted covering surface with vertical or horizontal slits respectively. Besides, a certain integral formula for locally canonical functions is obtained.

• 桃山学院大学の論文
• 1994-07-30

著者

• Kusunoki Yukio

  Faculty Of Letters St. Andrew's University

関連論文

• On Canonical Functions and Conformal Mappings (In Commemoration of the 110th Anniversary of the Founding of Momoyama Gakuin)

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