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).
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2010-01-01
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| Series: | Проблемы анализа |
| Online Access: | http://issuesofanalysis.petrsu.ru/files/pdf/2039_en.pdf |
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Article |
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doaj-c7987354605d4b4281161227a9a4175e2021-07-02T09:13:37ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322010-01-01176166The generalized Koebe functionNaraniecka I.Szynal J.Tatarczak A.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).http://issuesofanalysis.petrsu.ru/files/pdf/2039_en.pdf |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Naraniecka I. Szynal J. Tatarczak A. |
| spellingShingle |
Naraniecka I. Szynal J. Tatarczak A. The generalized Koebe function Проблемы анализа |
| author_facet |
Naraniecka I. Szynal J. Tatarczak A. |
| author_sort |
Naraniecka I. |
| title |
The generalized Koebe function |
| title_short |
The generalized Koebe function |
| title_full |
The generalized Koebe function |
| title_fullStr |
The generalized Koebe function |
| title_full_unstemmed |
The generalized Koebe function |
| title_sort |
generalized koebe function |
| publisher |
Petrozavodsk State University |
| series |
Проблемы анализа |
| issn |
2306-3424 2306-3432 |
| publishDate |
2010-01-01 |
| description |
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). |
| url |
http://issuesofanalysis.petrsu.ru/files/pdf/2039_en.pdf |
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