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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Extremal problems for certain classes of analytic functions


Author: Louis Brickman
Journal: Proc. Amer. Math. Soc. 35 (1972), 67-73
MSC: Primary 30A38
DOI: https://doi.org/10.1090/S0002-9939-1972-0308386-6
MathSciNet review: 0308386
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0308386-6
Keywords: Extremal problem, analytic functions with positive real part, starlike functions, probability measures, integral formulas
Article copyright: © Copyright 1972 American Mathematical Society