The generalized Koebe function

We observe that the extremal function for |a 3| within the class U' α (see Starkov [1]) has as well the property that max|A 4|>4.15, if α=2. The problem is equivalent to the global estimate for Meixner-Pollaczek polynomials P 1 3(x;θ).

Bibliographic Details
Main Authors: Naraniecka I., Szynal J., Tatarczak A.
Format: Article
Language:English
Published: Petrozavodsk State University 2010-01-01
Series:Проблемы анализа
Online Access:http://issuesofanalysis.petrsu.ru/files/pdf/2039_en.pdf