A variational method for functions of bounded boundary rotation
HTML articles powered by AMS MathViewer
- by Bernard Pinchuk
- Trans. Amer. Math. Soc. 138 (1969), 107-113
- DOI: https://doi.org/10.1090/S0002-9947-1969-0237761-8
- PDF | Request permission
References
- G. M. Goluzin, On a variational method in the theory of analytic functions, Amer. Math. Soc. Transl. (2) 18 (1961), 1–14. MR 0124491, DOI 10.1090/trans2/018/01
- W. K. Hayman, Coefficient problems for univalent functions and related function classes, J. London Math. Soc. 40 (1965), 385–406. MR 179344, DOI 10.1112/jlms/s1-40.1.385
- Wilfred Kaplan, Close-to-convex schlicht functions, Michigan Math. J. 1 (1952), 169–185 (1953). MR 54711
- W. E. Kirwan, A note on extremal problems for certain classes of analytic functions, Proc. Amer. Math. Soc. 17 (1966), 1028–1030. MR 202995, DOI 10.1090/S0002-9939-1966-0202995-8
- Olli Lehto, On the distortion of conformal mappings with bounded boundary rotation, Ann. Acad. Sci. Fennicae Ser. A. I. Math.-Phys. 1952 (1952), no. 124, 14. MR 53241 V. Paatero, Über die konforme Abbildungen von Gebieten deren Ränder von beschränkter Drehung sind, Ann. Acad. Sci. Fenn. Ser. A 33 (1931), No. 9.
- Bernard Pinchuk, Extremal problems in the class of close-to-convex functions, Trans. Amer. Math. Soc. 129 (1967), 466–478. MR 217279, DOI 10.1090/S0002-9947-1967-0217279-7
- Bernard Pinchuk, On starlike and convex functions of order $\alpha$, Duke Math. J. 35 (1968), 721–734. MR 230896
- M. Schiffer and O. Tammi, A method of variations for functions with bounded boundary rotation, J. Analyse Math. 17 (1966), 109–144. MR 214752, DOI 10.1007/BF02788654
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 138 (1969), 107-113
- MSC: Primary 30.42
- DOI: https://doi.org/10.1090/S0002-9947-1969-0237761-8
- MathSciNet review: 0237761