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Title of Journal: Acta Math Hung

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Abbravation: Acta Mathematica Hungarica

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Springer Netherlands

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10.1016/0014-2964(76)90013-x

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1588-2632

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Inequalities for entire functions of exponential t

Authors: N K Govil M A Qazi
Publish Date: 2007/12/02
Volume: 119, Issue: 1-2, Pages: 189-196
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Abstract

Let f be an entire function of exponential type satisfying the condition fz equiv eigamma eitau z overline fbar z for some real γ Lower and upper estimates for ∫ −∞ ∞ f′x p dx in terms of ∫ −∞ ∞ fx p dx for such a function f belonging to L p R have been known in the case where p ∊ 1 ∞ and γ = 0 In this paper these estimates are shown to hold for any p ∊ 0 ∞ and any real γ


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