On the coefficients of multivalent functions

Toshio UMEZAWA

doi:10.2969/jmsj/00520137

Toshio UMEZAWA

著者情報

ジャーナルフリー

1953 年 5 巻 2 号 p. 137-144

DOI https://doi.org/10.2969/jmsj/00520137

詳細

Published: 1953 Received: 1952/12/11 Available on J-STAGE: 2006/08/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/08/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) A. W. Goodman, On some determinants related to p-valent functions, Trans. Amer, Math. Soc. vol. 63 (1948) pp. 175-192.
2) See for example Montel, Leçons sur les fonctions univalentes ou multivalentes, Gauthier-Willars, (1933) pp. 48-50.
3) A. W. Goodman, On the Schwarz-Christoffel transformation and p-valent functions, Trans. Amer. Math. Soc. vol. 68 (1950) pp. 204-223.
4) A. W. Goodman and M. S. Robertson, A class of multivalent functions, Trans. Amer. Math. Sac. vol. 70 (1951) pp. 770-783.
5) T. Umezawa, A class of multivalent functions with assigned zeros, Proc. Amer. Math. Soc. vol. 3 (1952) pp. 813-820.
6) N. G. DeBruijn, Ein Satz über schlichte Funktionen, Neder, Akd. Wetensch. vol. 44 (1941) pp. 47-49.
7) S. Ozaki, On the theory of multivalent functions II, Science Reports of the Tokyo Bunrika Daigaku Sect. A vol. 4 (1941) pp. 45-87.
8) M. S. Robertson, Analytic functions starlike in one direction, Amer. J. Math. vol. 58 (1936) pp. 465-472.
9) M. S. Robertson, A representation of all analytic functions in terms of functions with positive real parts, Ann. of Math. vol. 38 (1937) pp. 770-783.
10) M. S. Robertson, The variation of the sign of V for an analytic function U+iV, Duke Math. J. vol. 5 (1939) pp. 512-519.

Right : [1] A. W. Goodman, On some determinants related to p-valent functions, Trans. Amer, Math. Soc. vol. 63 (1948) pp. 175-192.
[2] See for example Montel, Leçons sur les fonctions univalentes ou multivalentes, Gauthier-Willars, (1933) pp. 48-50.
[3] A. W. Goodman, On the Schwarz-Christoffel transformation and p-valent functions, Trans. Amer. Math. Soc. vol. 68 (1950) pp. 204-223.
[4] A. W. Goodman and M. S. Robertson, A class of multivalent functions, Trans. Amer. Math. Soc. vol. 70 (1951) pp. 770-783.
[5] T. Umezawa, A class of multivalent functions with assigned zeros, Proc. Amer. Math. Soc. vol. 3 (1952) pp. 813-820.
[6] N. G. DeBruijn, Ein Satz über schlichte Funktionen, Neder, Akd. Wetensch. vol. 44 (1941) pp. 47-49.
[7] S. Ozaki, On the theory of multivalent functions II, Science Reports of the Tokyo Bunrika Daigaku Sect. A vol. 4 (1941) pp. 45-87.
[8] M. S. Robertson, Analytic functions starlike in one direction, Amer. J. Math. vol. 58 (1936) pp. 465-472.
[9] M. S. Robertson, A representation of all analytic functions in terms of functions with positive real parts, Ann. of Math. vol. 38 (1937) pp. 770-783.
[10] M. S. Robertson, The variation of the sign of V for an analytic function U+iV, Duke Math. J. vol. 5 (1939) pp. 512-519.

訂正日: 2006/08/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

責任著者(Corresponding author)

訂正情報

J-STAGEへの登録はこちら（無料）