The extremal functions for certain problems concerning schlicht functions
HTML articles powered by AMS MathViewer
- by Arthur E. Obrock PDF
- Bull. Amer. Math. Soc. 71 (1965), 626-628
References
- P. L. Duren, Distortion in certain conformal mappings of an annulus, Michigan Math. J. 10 (1963), 431–441. MR 156957, DOI 10.1307/mmj/1028998979
- P. L. Duren and M. Schiffer, A variational method for functions schlicht in an annulus, Arch. Rational Mech. Anal. 9 (1962), 260–272. MR 136717, DOI 10.1007/BF00253350
- Dieter Gaier and Friedrich Huckemann, Extremal problems for functions schlicht in an annulus, Arch. Rational Mech. Anal. 9 (1962), 415–421. MR 136718, DOI 10.1007/BF00253363
- F. W. Gehring and Gunnar af Hällström, A distortion theorem for functions univalent in an annulus, Ann. Acad. Sci. Fenn. Ser. A I No. 325 (1963), 16. MR 0150281 5. H. Grunsky, Neue Abschätzungen zur konformen Abbildung ein- und mehrfach zusammenhängender Bereiche, Schr. Deutsche Math.-Ver. 43 (1934), 140-143.
- Friedrich Huckemann, Über einige Extremalprobleme bei konformer Abbildung eines Kreisringes, Math. Z. 80 (1962), 200–208 (German). MR 148893, DOI 10.1007/BF01162377
- James A. Jenkins, A general coefficient theorem, Trans. Amer. Math. Soc. 77 (1954), 262–280. MR 64146, DOI 10.1090/S0002-9947-1954-0064146-9
- James A. Jenkins, Univalent functions and conformal mapping, Reihe: Moderne Funktionentheorie, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958. MR 0096806
- James A. Jenkins, On weighted distortion in conformal mapping, Illinois J. Math. 4 (1960), 28–37. MR 114004
- A. C. Schaeffer and D. C. Spencer, Coefficient Regions for Schlicht Functions, American Mathematical Society Colloquium Publications, Vol. 35, American Mathematical Society, New York, N. Y., 1950. With a Chapter on the Region of the Derivative of a Schlicht Function by Arthur Grad. MR 0037908
- H. L. Royden, The interpolation problem for schlicht functions, Ann. of Math. (2) 60 (1954), 326–344. MR 64147, DOI 10.2307/1969636
Additional Information
- Journal: Bull. Amer. Math. Soc. 71 (1965), 626-628
- DOI: https://doi.org/10.1090/S0002-9904-1965-11366-0
- MathSciNet review: 0178144