THE MAXIMUM OF SOME FUNCTIONAL FOR HOLOMORPHIC AND UNIVALENT FUNCTIONS WITH REAL COEFFICIENTS

In the paper the maximum of the functional a k 2a m 3(a 3-αa 2 2) in the class S R of functions f(z)=z+Σ {n=2} ∞,a nz n, a n=overline{a n}, holomorphic and univalent in the unit disc is obtained for α real and k, m positive integers.

Bibliographic Details
Main Authors: MAJCHRZAK WIESLAW, SZWANKOWSKI ANDRZEJ
Format: Article
Language:English
Published: Petrozavodsk State University 2014-08-01
Series:Проблемы анализа
Online Access:http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=1901