訂正日: 2006/08/29訂正理由: -訂正箇所: 引用文献情報訂正内容: Right : 1) K. Noshiro, On the univalency of certain analytic functions, Journ. Fac. Sci. Hokkaido Imp. Univ. (1) 2, Nos. 1-2 (1934), pp. 89-101. 2) J. Dieudonné, Recherches sur quelques problemes relatifs aux polynômes et aux fonctions bornèes d'une variable complexe, Thèse de Paris; Ann. Sci. École Norm. Sup. vol. 48 (1931), pp. 248-358. 3) We mean by φ(z)⊂D that the set of values taken by φ(z) in |z|<1 belongs to the domain D. 4) S. Kakeya, On the zero-points of a limited function, Sci. Rep. of Tokyo Bunrika Daigaku, Section A, I, No. 14 (1931), pp. 159-165. 5) L. H. Loomis, The radius and modulus of n-valence for analvitc functions whose first n-1 derivatives vanish at a point, Bull. Amer. Math. Soc. vol. 46, No. 6 (1940), pp. 496-561. 6) A. Kobori, Über die notwendige und hinreichende Bedingung dafür, dass eine Potenzreihe den Kreisbereich auf den schlichten sternigen bzw. konvexen Bereich abbildet, Mem. Coll. Sci. Kyoto Imp. Univ. (A) 15 (1932) pp. 279-291. 7) See 1), foot-notes at p. 90. 8) See 4), p. 161. 9) See 1), p. 91. 10) The radius of n-valence of the function f(z) means the radius of the largest circle within which f(z) assumes no value more than n times, and assumes at least one value n times. 11) The modulus of n-valence of f(z) means the radius of the largest circle whose interior is covered exactly n times by the map under f(z) of |z|<ρ where ρ is the above radius of n-valence. 12) Cf. Corollary 1 of 5).