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Functions of Exponential Type Not Vanishing in a Half-Plane

If f(z) is an entire function of exponential type, hf(π/2) = 0 and f(z) 0 for Im(z) > 0 then according to a well-known result of R. P. Boas, for, we have. R. P. Boas proposed the problem of obtaining an inequality analogous to this if being real and the answer to this question in the case k < 0 was given by Govil and Rahman. In this paper we present generalizations of these results of Govil and Rahman.

Identiferoai:union.ndltd.org:ETSU/oai:dc.etsu.edu:etsu-works-14118
Date01 January 1997
CreatorsGardner, Robert, Govil, N. K.
PublisherDigital Commons @ East Tennessee State University
Source SetsEast Tennessee State University
Detected LanguageEnglish
Typetext
SourceETSU Faculty Works

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