Abstract
An extremal simple proof is given to V. N. Logvinenko's important theorem on the existence of an entire function with a prescribed indicator.
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Literature cited
V. N. Logvinenko, “Construction of an entire function with a prescribed indicator in the case of a prescribed integral proximate order,” Funkts. Anal. Prilozhen.,6, No. 4, 87–88 (1972).
B. Ya. Levin (B. Ja. Levin), Distribution of Zeros of Entire Functions, Am. Math. Soc., Providence (1964).
Additional information
Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 50, pp. 136–138, 1988.
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Boichuk, V.S. A simple construction of an entire function with a prescribed indicator with respect to a prescribed entire proximate order. J Math Sci 49, 1335–1336 (1990). https://doi.org/10.1007/BF02209185
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DOI: https://doi.org/10.1007/BF02209185