The variation of the sign of the real part of a meromorphic function on the unit circle
HTML articles powered by AMS MathViewer
- by Jun-iti Itô PDF
- Trans. Amer. Math. Soc. 89 (1958), 60-78 Request permission
References
- N. G. de Bruijn, Ein Satz über schlichte Funktionen, Nederl. Akad. Wetensch., Proc. 44 (1941), 47–49 (German). MR 3803
- A. W. Goodman, On the Schwarz-Christoffel transformation and $p$-valent functions, Trans. Amer. Math. Soc. 68 (1950), 204–223. MR 33886, DOI 10.1090/S0002-9947-1950-0033886-6
- A. W. Goodman, Typically-real functions with assigned zeros, Proc. Amer. Math. Soc. 2 (1951), 349–357. MR 41920, DOI 10.1090/S0002-9939-1951-0041920-9
- A. W. Goodman and M. S. Robertson, A class of multivalent functions, Trans. Amer. Math. Soc. 70 (1951), 127–136. MR 40430, DOI 10.1090/S0002-9947-1951-0040430-7
- Alfred Herzig, Die Winkelderivierte und das Poisson-Stieltjes-Integral, Math. Z. 46 (1940), 129–156 (German). MR 1301, DOI 10.1007/BF01181434
- Jun-iti Itô, On the function whose imaginary part on the unit circle changes its sign $2p$ times, Sci. Rep. Tokyo Bunrika Daigaku. Sect. A 4 (1944), 107–114. MR 48572 —, On the function whose real part on the unit circle changes its sign finite times, Bull. Nagoya Inst. Tech. vol. 3 (1951) pp. 293-305.
- Sôichi Kakeya, On the function whose imaginary part on the unit circle changes its sign only twice, Proc. Imp. Acad. Tokyo 18 (1942), 435–439. MR 16475 R. Nevanlinna, Eindeutige analytische Funktionen, Berlin, 1936.
- Shigeo Ozaki, On the theory of multivalent functions. II, Sci. Rep. Tokyo Bunrika Daigaku. Sect. A 4 (1941), 45–87. MR 48577 S. Ozaki, T. Takatsuka and T. Umezawa, Analytic functions starlike of order $P$ in one direction, J. Dept. Educ. Shizuoka Univ. vol. 1 (1950) pp. 81-87.
- M. S. Robertson, A representation of all analytic functions in terms of functions with positive real part, Ann. of Math. (2) 38 (1937), no. 4, 770–783. MR 1503368, DOI 10.2307/1968833
- M. S. Robertson, A coefficient problem for functions regular in an annulus, Canad. J. Math. 4 (1952), 407–423. MR 51308, DOI 10.4153/cjm-1952-037-1
Additional Information
- © Copyright 1958 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 89 (1958), 60-78
- MSC: Primary 30.00
- DOI: https://doi.org/10.1090/S0002-9947-1958-0095957-5
- MathSciNet review: 0095957