On meromorphic and circumferentially mean univalent functions

Hitoshi ABE

doi:10.2969/jmsj/01640342

Hitoshi ABE

著者情報

ジャーナルフリー

1964 年 16 巻 4 号 p. 342-351

DOI https://doi.org/10.2969/jmsj/01640342

詳細

Published: 1964 Received: 1963/11/25 Available on J-STAGE: 2006/09/26 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/26 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) H. Abe, On p-valent functions, J. Gakugei Tokushima Univ., 8 (1957), 33-40.
2) L. Bieberbach, Über schlichte Abbildungen des Einheitkreises durch meromorphe Funktionen, Sitzungsber. preusz. Akad. Berlin, 1929, 620-624.
3) L. Bieberbach, Über schlichte Abbildungen des Einheitkreises durch meromorphe Funktionen, II, Sitzungsber. preusz. Akad. Berlin, 1937, 3-9.
4) M. Biernacki, Sur les fonctions en moyenne multivalentes, Bull. Sci. Math., 70 (1946), 51-76.
5) P. R. Garabedian and H. L. Royden, The one-quarter theorem for mean univalent functions, Ann. of Math., 59 (1954), 316-324.
6) W. K. Hayman, Symmetrization in the theory of functions, Tech. Rep., No. 11, Stanford Univ., 1950.
7) W. K. Hayman, Multivalent functions, Cambridge Tracts, No. 48, 1958.
8) W. K. Hayman, Some applications of transfinite diameter to the theory of functions, J. Analyse Math., I (1951), 155-179.
9) J. A. Jenkins, On values omitted by univalent functions, Amer. J. Math., 55 (1953), 406-408.
10) A. Kobori, Une remarque sur les fonctions multivalentes, Mem. Coll. Sci. Kyoto Ser. A, 27 (1953), 1-5.
11) Y. Komatu, Note on the theory of conformal representation by meromorphic functions, I, Proc. Imp. Acad. Tokyo, 21 (1945), 269-277.
12) Y. Komatu, Note on the theory of conformal representation by meromorphic functions, II, Proc. Imp. Acad. Tokyo, 21 (1945), 278-284.
13) Y. Komatu, Conformal mapping I, (Japanese) Tokyo, 1944.
14) P. Montel, Sur les domaines formés par les points représentant les valeurs d'une fonction analytique, Ann. Sci. École Norm. Sup., 46 (1929), 1-23.
15) G. Pólya and G. Szegö, Isoperimetric inequalities in mathematical physics, Ann. of Math. Studies, No. 27, 1951.
16) D. C. Spencer, On mean one-valent functions, Ann. of Math., 42 (1941), 614-633.
17) M. Tsuji, Potential theory in modern function theory, Tokyo, 1959.

Right : [1] H. Abe, On p-valent functions, J. Gakugei Tokushima Univ., 8 (1957), 33-40.
[2] L. Bieberbach, Über schlichte Abbildungen des Einheitkreises durch meromorphe Funktionen, Sitzungsber. preusz. Akad. Berlin, 1929, 620-624.
[3] L. Bieberbach, Über schlichte Abbildungen des Einheitkreises durch meromorphe Funktionen, II, Sitzungsber. preusz. Akad. Berlin, 1937, 3-9.
[4] M. Biernacki, Sur les fonctions en moyenne multivalentes, Bull. Sci. Math., 70 (1946), 51-76.
[5] P. R. Garabedian and H. L. Royden, The one-quarter theorem for mean univalent functions, Ann. of Math., 59 (1954), 316-324.
[6] W. K. Hayman, Symmetrization in the theory of functions, Tech. Rep., No. 11, Stanford Univ., 1950.
[7] W. K. Hayman, Multivalent functions, Cambridge Tracts, No. 48, 1958.
[8] W. K. Hayman, Some applications of transfinite diameter to the theory of functions, J. Analyse Math., I (1951), 155-179.
[9] J. A. Jenkins, On values omitted by univalent functions, Amer. J. Math., 55 (1953), 406-408.
[10] A. Kobori, Une remarque sur les fonctions multivalentes, Mem. Coll. Sci. Kyoto Ser. A, 27 (1953), 1-5.
[11] Y. Komatu, Note on the theory of conformal representation by meromorphic functions, I, Proc. Imp. Acad. Tokyo, 21 (1945), 269-277.
[12] Y. Komatu, Note on the theory of conformal representation by meromorphic functions, II, Proc. Imp. Acad. Tokyo, 21 (1945), 278-284.
[13] Y. Komatu, Conformal mapping I, (Japanese) Tokyo, 1944.
[14] P. Montel, Sur les domaines formés par les points représentant les valeurs d'une fonction analytique, Ann. Sci. École Norm. Sup., 46 (1929), 1-23.
[15] G. Pólya and G. Szegö, Isoperimetric inequalities in mathematical physics, Ann. of Math. Studies, No. 27, 1951.
[16] D. C. Spencer, On mean one-valent functions, Ann. of Math., 42 (1941), 614-633.
[17] M. Tsuji, Potential theory in modern function theory, Tokyo, 1959.

訂正日: 2006/09/26 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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