AN EXTREMAL PROBLEM AND INEQUALITIES FOR ENTIRE FUNCTIONS OF EXPONENTIAL TYPE
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Abstract
We study two variations of the classical one-delta problem for entire functions of exponential type, known also as the Carath eodory-Fej er- Turán problem. The first variation imposes the additional requirement that the function is radially decreasing while the second one is a generalization which involves derivatives of the entire function. Various interesting inequalities, inspired by results due to Duffin and Schaeffer, Landau, and Hardy and Littlewood, are also established.
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English
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Proceedings of the American Mathematical Society, v. 152, n. 8, p. 3299-3318, 2024.
