1 |
F. G. Avhadiev and L. A. Aksent'ev, Sufficient conditions for the univalence of analytic functions (Russian), Dokl. Akad. Nauk SSSR 198 (1971), 743-746, English translation in Soviet Math. Dokl. 12 (1971), 859-863
|
2 |
G. M. Goluzin, Geometric Theory of Functions of a Complex Variable, Translations of Mathematical Monographs, Vol. 26 American Mathematical Society, Providence, R.I. 1969
|
3 |
Z. Nehari, The Schwarzian derivative and schlicht functions, Bull. Amer. Math. Soc. 55 (1949), 545-551
DOI
|
4 |
J. Becker, Lownersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen, J. Reine Angew. Math. 255 (1972), 23-43
|
5 |
L. V. Ahlfors and G. Weill, A uniqueness theorem for Beltrami equations, Proc. Amer. Math. Soc. 13 (1962), 975-978
DOI
ScienceOn
|
6 |
L. A. Aksent'ev, Sufficient conditions for univalence of regular functions (Russian), Izv. Vyss. Ucebn. Zaved. Matematika 1958 (1958) no. 3 (4), 3-7
|
7 |
L. A. Aksent'ev and F. G. Avhadiev, A certain class of univalent functions (Russian), Izv. Vyss. Ucebn. Zaved. Matematika 1970 (1970) no. 10, 12-20
|
8 |
F. G. Avhadiev, Conditions for the univalence of analytic functions (Russian), Izv. Vyss. Ucebn. Zaved. Matematika 1970 (1970) no. 11 (102), 3-13
|
9 |
F. G. Avhadiev Fundamental results on sufficient conditions for the univalence of analytic functions (Russian), Uspehi Mat. Nauk 30 (1975), no. 4(184), 3-60, English translation in Russian Math. Surveys 30 (1975), 1-64
|
10 |
J. Becker, Lownersche Differentialgleichung und Schlichtheitskriterien, Math. Ann. 202 (1973), 321-335
DOI
|
11 |
Y. C. Kim and T. Sugawa, Growth and coefficient estimates for uniformly locally univalent functions on the unit disk, Rocky Mountain J. Math. 32 (2002), no. 1, 179-200
DOI
ScienceOn
|
12 |
Y. C. Kim, A conformal invariant for nonvanishing analytic functions and its applications, Michigan Math. J. 54 (2006), no. 2, 393-410
DOI
|
13 |
T. Sugawa, The universal Teichm¨uller space and related topics, Proceedings of the International Workshop on Quasiconformal Mappings and their Applications (India) (S. Ponnusamy, T. Sugawa, and M. Vuorinen, eds.), Narosa Publishing House, 2007, pp. 261-289
|
14 |
Y. C. Kim, Norm estimates of the pre-Schwarzian derivatives for certain classes of univalent functions, Proc. Edinb. Math. Soc. (2) 49 (2006), no. 1, 131-143
DOI
ScienceOn
|
15 |
S. L. Krushkal, Quasiconformal extensions and reflections, Handbook of Complex Analysis: Geometric Function Theory. Vol. 2, 507-553, Elsevier, Amsterdam, 2005
|
16 |
J. G. Krzyz, Convolution and quasiconformal extension, Comment. Math. Helv. 51 (1976), no. 1, 99-104
DOI
|
17 |
S. Yamashita, Norm estimates for function starlike or convex of order alpha, Hokkaido Math. J. 28 (1999), no. 1, 217-230
DOI
|
18 |
Y. C. Kim, S. Ponnusamy, and T. Sugawa, Mapping properties of nonlinear integral operators and pre-Schwarzian derivatives, J. Math. Anal. Appl. 299 (2004), no. 2, 433-447
DOI
ScienceOn
|
19 |
J. Becker and Ch. Pommerenke, Schlichtheitskriterien und Jordangebiete, J. Reine Angew. Math. 354 (1984), 74-94
|
20 |
P. L. Duren, Univalent Functions, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 259. Springer-Verlag, New York, 1983
|