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Nunokawa, M.

On the univalence of a certain integral. (English) Zbl 0191.08802

Trans. Am. Math. Soc. 146, 439-446 (1969).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0191.08802

Cited in 9 Documents

Keywords:

complex functions
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References:

[1] C. Carathéodory, Theory of functions of a complex variable, Vol. 2, Chelsea, New York, 1954. · Zbl 0056.06703
[2] W. M. Causey, The close-to-convexity and univalence of an integral, Math. Z. 99 (1967), 207 – 212. · Zbl 0165.09501 · doi:10.1007/BF01112451
[3] P. L. Duren, H. S. Shapiro, and A. L. Shields, Singular measures and domains not of Smirnov type, Duke Math. J. 33 (1966), 247 – 254. · Zbl 0174.37501
[4] P. R. Garabedian and M. Schiffer, A proof of the Bieberbach conjecture for the fourth coefficient, J. Rational Mech. Anal. 4 (1955), 427 – 465. · Zbl 0065.06902
[5] W. K. Hayman, Multivalent functions, Cambridge Tracts in Mathematics and Mathematical Physics, No. 48, Cambridge University Press, Cambridge, 1958. · Zbl 0082.06102
[6] A. Marx, Untersuchungen über schlichte Abbildungen, Math. Ann. 107 (1932), 40-67. · JFM 58.0363.01
[7] Zeev Nehari, The Schwarzian derivative and schlicht functions, Bull. Amer. Math. Soc. 55 (1949), 545 – 551. · Zbl 0035.05104
[8] K. Noshiro, On the univalency of certain analytic functions, J. Fac. Sci. Hokkaido Univ. Ser. I 2 (1932), 89-101. · JFM 60.0282.03
[9] M. Nunokawa, On the univalency and multivalency of certain analysis functions, Math. Z. 104 (1968), 394 – 404. · Zbl 0165.09502 · doi:10.1007/BF01110431
[10] Shigeo Ozaki, On the theory of multivalent functions. II, Sci. Rep. Tokyo Bunrika Daigaku. Sect. A. 4 (1941), 45 – 87. · Zbl 0063.06075
[11] W. C. Royster, On the univalence of a certain integral, Michigan Math. J. 12 (1965), 385 – 387. · Zbl 0193.37301
[12] Erich Strohhäcker, Beiträge zur Theorie der schlichten Funktionen, Math. Z. 37 (1933), no. 1, 356 – 380 (German). · Zbl 0007.21402 · doi:10.1007/BF01474580
[13] Toshio Umezawa, Analytic functions convex in one direction, J. Math. Soc. Japan 4 (1952), 194 – 202. · Zbl 0047.31801 · doi:10.2969/jmsj/00420194
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