On some systems of regular functions

Toshio UMEZAWA

doi:10.2969/jmsj/00720137

Toshio UMEZAWA

著者情報

ジャーナルフリー

1955 年 7 巻 2 号 p. 137-165

DOI https://doi.org/10.2969/jmsj/00720137

詳細

Published: 1955 Received: 1954/03/04 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) E. Peschl and F. Erwe, Beschrankte Systeme von Funktionen, Math. Ann. Bd. 126 (1953) S. 185-220.
2) S. Takahashi, Univalent mappings in several complex variables, Ann, of Math. 53 (1951) pp. 464-471.
3) S. Ozaki, S. Kashiwagi and T. Tsuboi, Some properties in matrix space, Sci. Rep. of Tokyo Bunrika Daigaku, Sect. A. 4, No. 5 (1952) pp. 230 237. H. Suzuki, Univalent mappings in several complex variable, Sugaku Kenkyuroku, Tokyo University of Education, vol. 1, No. 7. (1952) (Japanese).
4) T. Sato, Emn Satz über. Schlichtheit von einer Meromorphen Funktiones, Proc. Imp. Acad. Tokyo, vol. XI (1936) pp. 212-213.
5) S. Ozaki, On the theory of multivalent functions, Sci. Rep, of Tokyo Bunrika Daigaku, Sect. A. No. 40. (1935) pp. 167-188.
6) O. H. Mitchell, Note on determinant of powers, Amer. Journ of Math. vol. 4 (1881) pp. 341-344. A. W. Goodman, On some determinant related to p-valent functions, Trans. Amer. Math. Soc. 63. (1948) pp. 175-192.
7) T. Umezawa, T. Takatsuka and S. Ozaki, Sufficient conditions for the multivalency of meromorphic functions, Sci. Rep, of Gumma University, vol. 1, No. 1 (1950) pp. 25-29.
8) K. Noshiro, On the theory of schlicht functions, Journ, of the faculty of science, Hokkaido Imperial University, Series I, vol. 11, No. 3 (1934) pp. 129-155.
9) K. Nabetani, On the multivalency of certain power series, Tohoku Math. Journ, 41 (1936) pp. 402-405.
10) S. Ozaki, On the theory of multivalent functions in a multiply connected domain, Sci. Rep. T.B.D. Sect. A. Nos. 81-82, (1944) pp. 115-135.
11) T. Umezawa, Some theorems on multivalent functions, Sci. Rep, of Gumma University. vol. 1, (1950) pp. 13-20.
12) S. Ozaki, On absolutely multivalent functions, Otsuka Sugakukaishi, vol. 9 (1940). pp. 10-22. (Japanese).
13) P.C. Rosenbloom, Some properties of absolutely monotonic functions, Bull. Amer. Math. Soc, vol. 52 (1946) pp. 458-462.
14) S. Ozaki and I. Ono, Analytic functions of several complex variables, Sci. Rep. T.B.D. sect. A vol. 4, Nos. 98-103, (1953) pp. 262-270.

Right : [1] E. Peschl und F. Erwe, Beschränkte Systeme von Funktionen, Math. Ann. Bd. 126 (1953) S. 185-220.
[2] S. Takahashi, Univalent mappings in several complex variables, Ann. of Math. 53 (1951) pp. 464-471.
[3] S. Ozaki, S. Kashiwagi and T. Tsuboi, Some properties in matrix space, Sci. Rep. of Tokyo Bunrika Daigaku, Sect. A. 4, No. 5 (1952) pp. 230-237. H. Suzuki, Univalent mappings in several complex variable, Sugaku Kenkyuroku, Tokyo University of Education, vol. 1, No. 7. (1952) (Japanese).
[4] T. Sato, Ein Satz über Schlichtheit von einer Meromorphen Funktiones, Proc. Imp. Acad. Tokyo, vol. XI (1936) pp. 212-213.
[5] S. Ozaki, On the theory of multivalent functions, Sci. Rep. of Tokyo Bunrika Daigaku, Sect. A. No. 40. (1935) pp. 167-188.
[6] O. H. Mitchell, Note on determinant of powers, Amer. Journ of Math. vol. 4 (1881) pp. 341-344. A. W. Goodman, On some determinant related to p-valent functions, Trans. Amer. Math. Soc. 63. (1948) pp. 175-192.
[7] T. Umezawa, T. Takatsuka and S. Ozaki, Sufficient conditions for the multivalency of meromorphic functions, Sci. Rep. of Gumma University, vol. 1, No. 1 (1950) pp. 25-29.
[8] K. Noshiro, On the theory of schlicht functions, Journ. of the faculty of science, Hokkaido Imperial University, Series I, vol. 11, No. 3 (1934) pp. 129-155.
[9] K. Nabetani, On the multivalency of certain power series, Tôhoku Math. Journ. 41 (1936) pp. 402-405.
[10] S. Ozaki, On the theory of multivalent functions in a multiply connected domain, Sci. Rep. T. B. D. Sect. A. Nos. 81-82, (1944) pp. 115-135.
[11] T. Umezawa, Some theorems on multivalent functions, Sci. Rep. of Gumma University. vol. 1, (1950) pp. 13-20.
[12] S. Ozaki, On absolutely multivalent functions, Otsuka Sugakukaishi, vol. 9 (1940). pp. 10-22. (Japanese).
[13] P. C. Rosenbloom, Some properties of absolutely monotonic functions, Bull. Amer. Math. Soc. vol. 52 (1946) pp. 458-462.
[14] S. Ozaki and I. Ono, Analytic functions of several complex variables, Sci. Rep. T. B. D. sect. A vol. 4, Nos. 98-103, (1953) pp. 262-270.

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

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