Inequalities for products of zeros of polynomials and entire functions

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Abstract

Estimates for products of the zeros of polynomials and entire functions are derived. By these estimates, new upper bounds for the counting function are suggested. In appropriate situations we improve the Jensen inequality for the counting functions and the Mignotte inequality for products of the zeros of polynomials.

Original languageEnglish
Article number15-70
Pages (from-to)827-833
Number of pages7
JournalMathematical Inequalities and Applications
Volume15
Issue number4
DOIs
StatePublished - 1 Oct 2012

Keywords

  • Counting function
  • Entire functions
  • Polynomials
  • Product of zeros

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