Univalent functions and non-convex domains

Noriyuki SONE

doi:10.2969/jmsj/01520191

Noriyuki SONE

Author information

JOURNAL FREE ACCESS

1963 Volume 15 Issue 2 Pages 191-201

DOI https://doi.org/10.2969/jmsj/01520191

Details

Published: 1963 Received: September 14, 1962 Available on J-STAGE: September 26, 2006 Accepted: - Advance online publication: - Revised: -
Correction information
Date of correction: September 26, 2006 Reason for correction: - Correction: CITATION Details: Right : [1] K. Noshiro, On the theory of schlicht functions, J. Fac. Sci., Hokkaido Imp. Univ., 2 (1934), 129-155.
[2] J. Wolff, L'intégrale d'une fonction holomorphe et à partie réelle positive dans un demi-plan est univalente, C. R. Acad. Sci. Paris, 198 (1934), 1209-1210.
[3] S. Ozaki, On the theory of multivalent functions, Sci. Rep. Tokyo Bunrika Daigaku A, 2 (1935), 167-188.
[4] W. Kaplan, Close-to-convex schlicht functions, Michigan Math. J., 1 (1952), 169-185.
[5] T. Umezawa, On the theory of univalent functions, Tohoku Math. J., 7 (1955), 212-228.
[6] T. Umezawa, Analytic functions convex in one direction, J. Math. Soc. Japan, 4 (1952), 194-202.
[7] T. Umezawa, Star-like theorems and convex-like theorems in an annulus, J. Math. Soc. Japan, 6 (1954), 68-75.
[8] M. O. Reade, On Umezawa's criteria for univalence, J. Math. Soc. Japan, 9 (1957), 234-237.
[9] M. O. Reade, On Umezawa's criteria for univalence II, J. Math. Soc. Japan, 10 (1958), 255-259.
[10] M. O. Reade, Sur une classe de fonctions univalentes, C. R. Acad. Sci. Paris, 239 (1954), 1758-1759.
[11] V. F. Cowling and W. C. Royster, Some applications of the Weierstrass mean value theorem, J. Math. Soc. Japan, 13 (1961), 104-108.
[12] M. S. Robertson, Analytic functions star-like in one direction, Amer. J. Math., 58 (1936), 465-472.
[13] N. Sone, Note on Bernardi's theorem, Mem. Fac. Liberal Arts & Education Yamanashi Univ., 8 (1957), 124-127.
[14] S. D. Bernardi, Note on an inequality of Prawitz, Duke Math. J., 23 (1956), 385-391.

Date of correction: September 26, 2006 Reason for correction: - Correction: PDF FILE Details: -

Corresponding author

Correction information

Register with J-STAGE for free!