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Functions of Exponential Type Not Vanishing in a Half-PlaneGardner, Robert, Govil, N. K. 01 January 1997 (has links)
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.
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Some Inequalities for Entire Functions of Exponential TypeGardner, Robert B., Govil, N. K. 01 January 1995 (has links)
If f(z) is an asymmetric entire function of exponential type t, Both of these inequalities are sharp. In this paper we generalize the above two inequalities of Boas by proving a sharp inequality which, besides giving as special cases the above two inequalities of Boas, yields some other results as well.
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