The coefficients of powers of Bazilević functions (Q1634740)
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scientific article; zbMATH DE number 6994866
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The coefficients of powers of Bazilević functions |
scientific article; zbMATH DE number 6994866 |
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The coefficients of powers of Bazilević functions (English)
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18 December 2018
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Summary: In the present work, a sharp bound on the modulus of the initial coefficients for powers of strongly Bazilević functions is obtained. As an application of these results, certain conditions are investigated under which the Littlewood-Paley conjecture holds for strongly Bazilević functions for large values of the parameters involved therein. Further, sharp estimate on the generalized Fekete-Szegö functional is also derived. Relevant connections of our results with the existing ones are also made.
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univalent function
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starlike function
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strongly Bazilević function
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Littlewood-Paley conjecture
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Fekete-Szegö functional
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