Extremal problems for certain classes of analytic functions-Reference-Cited by-同舟云学术

Extremal problems for certain classes of analytic functions

Published:1972 Issue:1 Volume:35 Page:67-73
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Brickman Louis

Abstract

An extremal problem for the set of probability measures on the unit circle is formulated and solved. The result contains as special cases many of the published results concerning extremal problems for analytic functions with positive real part, starlike functions, and other classes of functions associated with integral formulas.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1972-035-01/S0002-9939-1972-0308386-6/S0002-9939-1972-0308386-6.pdf

Reference8 articles.

1. On a variational method in the theory of analytic functions;Goluzin, G. M.;Leningrad. Gos. Univ. U\v{c}. Zap. Ser. Mat. Nauk.,1952

2. A note on extremal problems for certain classes of analytic functions;Kirwan, W. E.;Proc. Amer. Math. Soc.,1966

3. Extremal problems for the typically real functions;Kirwan, William E.;Amer. J. Math.,1966

4. Extremal problems and coefficient regions for analytic functions represented by a Stieltjes integral;Pfaltzgraff, J. A.;Trans. Amer. Math. Soc.,1965

5. Variational methods for functions with positive real part;Robertson, M. S.;Trans. Amer. Math. Soc.,1962

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