On the growth of entire functions of exponential type with zeros near a straight line

DOI10.1023/A:1012393106283zbMath1025.30005MaRDI QIDQ1809968

Bulat N. Khabibullin

Publication date: 15 June 2003

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

indicator functionentire function of exponential typepositive Borel measureJensen measuresequence of zerossubharmonic function of finite typeupper density of a measure

Mathematics Subject Classification ID

Entire functions of one complex variable (general theory) (30D20) Proceedings, conferences, collections, etc. pertaining to functions of a complex variable (30-06) Completeness problems, closure of a system of functions of one complex variable (30B60)

Related Items (7)

Growth of entire functions of exponential type and characteristics of distributions of points along straight line in complex plane ⋮ Preorders on subharmonic functions and measures with applications to the distribution of zeros of holomorphic functions ⋮ A version of the Malliavin-Rubel theorem on entire functions of exponential type with zeros near the imaginary axis ⋮ Sharp bounds for asymptotic characteristics of growth of entire functions with zeros on given sets ⋮ Growth of subharmonic functions along line and distribution of their Riesz measures ⋮ Balayage of measures and subharmonic functions to a system of rays. I. The classical case ⋮ Growth majorants and quotient representations of meromorphic functions.

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