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Nunokawa, M.

On the univalency and multivalency of certain analytic functions. (English) Zbl 0165.09502

Math. Z. 104, 394-404 (1968).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 5 Documents

Keywords:

complex functions
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Full Text: DOI EuDML

References:

[1] Causey, W. M.: The close-to-convex and univalence of an integral. Math. Z.99, 207-212 (1967). · Zbl 0165.09501 · doi:10.1007/BF01112451
[2] Libera, R. J.: Some classes of regular univalent functions. Proc. Amer. Math. Soc.16, 755-758 (1965). · Zbl 0158.07702 · doi:10.1090/S0002-9939-1965-0178131-2
[3] MacGregor, T. H.: The radius of univalence of certain analytic functions. Proc. Amer. Math. Soc.14, 514-520 (1963). · Zbl 0114.28001 · doi:10.1090/S0002-9939-1963-0148891-3
[4] Marx, A.: Untersuchungen über schlichte Abbildungen. Math. Ann.107, 40-67 (1932). · Zbl 0005.10901 · doi:10.1007/BF01448878
[5] Nehari, Z.: Conformal mapping. New York: McGraw-Hill Book Co. 1952. · Zbl 0048.31503
[6] ? The Schwarzian derivative and schlicht functions. Bull. Amer. Math. Soc.55, 545-551 (1949). · Zbl 0035.05104 · doi:10.1090/S0002-9904-1949-09241-8
[7] Noshiro, K.: On the univalency of certain analytic functions. J. Fac. Sci. Hokkaido Imp. Univ.2, 89-101 (1934). · JFM 60.0282.03
[8] Sakaguchi, K.: On a certain univalent mapping. J. Math. Soc. Japan11, 72-75 (1959). · Zbl 0085.29602 · doi:10.2969/jmsj/01110072
[9] Strohhäcker, E.: Beiträge zur Theorie der schlichten Funktionen. Math. Z.37, 356-380 (1933). · JFM 59.0353.02 · doi:10.1007/BF01474580
[10] Umezawa, T.: Multivalently close-to-convex functions. Proc. Amer. Math. Soc.8, 869-874 (1957). · Zbl 0080.28301 · doi:10.1090/S0002-9939-1957-0090654-9
[11] Wolff, J.: L’intégrale dúne fonction holomorphe et à partie reelle positive dans un demi-plan est univalente. C. R. Acad. Sci. Paris198, 1209-1210 (1934). · JFM 60.0282.01
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