On some systems of regular functions

Toshio UMEZAWA

doi:10.2969/jmsj/00720137

Toshio UMEZAWA

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1955 Volume 7 Issue 2 Pages 137-165

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

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Published: 1955 Received: March 04, 1954 Available on J-STAGE: August 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: 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.

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