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.
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2014-08-01
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| Series: | Проблемы анализа |
| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=1901 |
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doaj-b8cebcaabf7b411c9159f825b22408242021-07-02T04:24:37ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322014-08-01319966271THE MAXIMUM OF SOME FUNCTIONAL FOR HOLOMORPHIC AND UNIVALENT FUNCTIONS WITH REAL COEFFICIENTSMAJCHRZAK WIESLAW0SZWANKOWSKI ANDRZEJ1Institute of Mathematics University of Lodz ul. Banacha 22, 90-238 Lodz, PolandInstitute of Mathematics University of Lodz ul. Banacha 22, 90-238 Lodz, PolandIn 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.http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=1901 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
MAJCHRZAK WIESLAW SZWANKOWSKI ANDRZEJ |
| spellingShingle |
MAJCHRZAK WIESLAW SZWANKOWSKI ANDRZEJ THE MAXIMUM OF SOME FUNCTIONAL FOR HOLOMORPHIC AND UNIVALENT FUNCTIONS WITH REAL COEFFICIENTS Проблемы анализа |
| author_facet |
MAJCHRZAK WIESLAW SZWANKOWSKI ANDRZEJ |
| author_sort |
MAJCHRZAK WIESLAW |
| title |
THE MAXIMUM OF SOME FUNCTIONAL FOR HOLOMORPHIC AND UNIVALENT FUNCTIONS WITH REAL COEFFICIENTS |
| title_short |
THE MAXIMUM OF SOME FUNCTIONAL FOR HOLOMORPHIC AND UNIVALENT FUNCTIONS WITH REAL COEFFICIENTS |
| title_full |
THE MAXIMUM OF SOME FUNCTIONAL FOR HOLOMORPHIC AND UNIVALENT FUNCTIONS WITH REAL COEFFICIENTS |
| title_fullStr |
THE MAXIMUM OF SOME FUNCTIONAL FOR HOLOMORPHIC AND UNIVALENT FUNCTIONS WITH REAL COEFFICIENTS |
| title_full_unstemmed |
THE MAXIMUM OF SOME FUNCTIONAL FOR HOLOMORPHIC AND UNIVALENT FUNCTIONS WITH REAL COEFFICIENTS |
| title_sort |
maximum of some functional for holomorphic and univalent functions with real coefficients |
| publisher |
Petrozavodsk State University |
| series |
Проблемы анализа |
| issn |
2306-3424 2306-3432 |
| publishDate |
2014-08-01 |
| description |
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. |
| url |
http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=1901 |
| work_keys_str_mv |
AT majchrzakwieslaw themaximumofsomefunctionalforholomorphicandunivalentfunctionswithrealcoefficients AT szwankowskiandrzej themaximumofsomefunctionalforholomorphicandunivalentfunctionswithrealcoefficients AT majchrzakwieslaw maximumofsomefunctionalforholomorphicandunivalentfunctionswithrealcoefficients AT szwankowskiandrzej maximumofsomefunctionalforholomorphicandunivalentfunctionswithrealcoefficients |
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1721340177772707840 |