On the univalence of a certain integral
HTML articles powered by AMS MathViewer
- by Mamoru Nunokawa PDF
- Trans. Amer. Math. Soc. 146 (1969), 439-446 Request permission
References
-
C. Carathéodory, Theory of functions of a complex variable, Vol. 2, Chelsea, New York, 1954.
- W. M. Causey, The close-to-convexity and univalence of an integral, Math. Z. 99 (1967), 207–212. MR 215972, DOI 10.1007/BF01112451
- 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. MR 199359
- P. R. Garabedian and M. Schiffer, A proof of the Bieberbach conjecture for the fourth coefficient, J. Rational Mech. Anal. 4 (1955), 427–465. MR 70712, DOI 10.1512/iumj.1955.4.54012
- W. K. Hayman, Multivalent functions, Cambridge Tracts in Mathematics and Mathematical Physics, No. 48, Cambridge University Press, Cambridge, 1958. MR 0108586 A. Marx, Untersuchungen über schlichte Abbildungen, Math. Ann. 107 (1932), 40-67.
- Zeev Nehari, The Schwarzian derivative and schlicht functions, Bull. Amer. Math. Soc. 55 (1949), 545–551. MR 29999, DOI 10.1090/S0002-9904-1949-09241-8 K. Noshiro, On the univalency of certain analytic functions, J. Fac. Sci. Hokkaido Univ. Ser. I 2 (1932), 89-101.
- M. Nunokawa, On the univalency and multivalency of certain analysis functions, Math. Z. 104 (1968), 394–404. MR 227387, DOI 10.1007/BF01110431
- Shigeo Ozaki, On the theory of multivalent functions. II, Sci. Rep. Tokyo Bunrika Daigaku. Sect. A 4 (1941), 45–87. MR 48577
- W. C. Royster, On the univalence of a certain integral, Michigan Math. J. 12 (1965), 385–387. MR 183866
- Erich Strohhäcker, Beiträge zur Theorie der schlichten Funktionen, Math. Z. 37 (1933), no. 1, 356–380 (German). MR 1545400, DOI 10.1007/BF01474580
- Toshio Umezawa, Analytic functions convex in one direction, J. Math. Soc. Japan 4 (1952), 194–202. MR 51313, DOI 10.2969/jmsj/00420194
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 146 (1969), 439-446
- MSC: Primary 30.42
- DOI: https://doi.org/10.1090/S0002-9947-1969-0251205-1
- MathSciNet review: 0251205