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.
Gardner, Robert; and Govil, N. K.. 1997. Functions of Exponential Type Not Vanishing in a Half-Plane. Analysis (Germany). Vol.17(4). 395-402. https://doi.org/10.1524/anly.19126.96.36.1995 ISSN: 0174-4747