On sums of zeros of infinity order entire functions

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Abstract

We consider an infinite order entire functions f(z), whose zeros z1(f), z2(f), ... are enumerated in the increasing order. For a nondecreasing sequence {pk} of positive numbers, a bound for the sums {equation presented} is suggested. That bound gives us conditions providing the convergence of the corresponding series.

Original languageEnglish
Pages (from-to)100-106
Number of pages7
JournalCommunications in Mathematical Analysis
Volume13
Issue number1
StatePublished - 1 Dec 2012

Keywords

  • Entire function
  • Infinite order
  • Sum of zeros

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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