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Bulletin of the American Mathematical Society

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Extremal problems for functions of bounded boundary rotation


Author: Bernard Pinchuk
Journal: Bull. Amer. Math. Soc. 73 (1967), 708-711
MathSciNet review: 0215992
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  • 1. G. M. Goluzin, On a variational method in the theory of analytic functions, Leningrad. Gros. Univ. Učen. Zap. 144 Ser. Mat. Nauk. 23 (1952), 85-101; English transl., Amer. Math. Soc. Transl. (2) Vol. 18, Amer. Math. Soc., Providence, R. I., 1961, pp. 1-14. MR 124491
  • 2. W. E. Kirwan, A note on extremal problems for certain classes of analytic functions, Proc. Amer. Math Soc. 17 (1966), 1028-1130. MR 202995
  • 3. O. Lehto, On the distortion of conformal mappings with bounded boundary rotation, Ann. Acad. Sci. Fenn. Ser. A. I. no. 124 (1952). MR 53241
  • 4. B. Pinchuk, Extremal problems in the class of close-to-convex functions, Bull. Amer. Math. Soc. 72 (1966), 1014-1017. MR 200438
  • 5. B. Pinchuk A variational method for functions of bounded boundary rotation with applications, (to appear). MR 237761
  • 6. M. S. Schiffer and O. Tammi, A method of variations for functions of bounded boundary rotation, J. Analyse Math. 17 (1966), 109-144. MR 214752


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1967-11837-8