This article is cited in 3 papers

On the Regularity of Growth of Canonical Products with Real Zeros

V. B. Sherstyukov

Moscow Engineering Physics Institute (State University)

Abstract: We obtain a criterion for totally regular growth of canonical products with real symmetric zeros, which involves a generalization of the notion of condensation index of a sequence of positive numbers of a finite upper density.

Keywords: canonical product, Weierstrass product, condensation index, upper density, function of exponential type, function of totally regular growth.

UDC: 517.5

Received: 15.03.2006
Revised: 19.02.2007

DOI: 10.4213/mzm3816

 English version: Mathematical Notes, 2007, 82:4, 555–563

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