On zeros of discrete orthogonal polynomials

Ilia Krasikov*, Alexander Zarkh

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We exploit difference equations to establish sharp inequalities on the extreme zeros of the classical discrete orthogonal polynomials, Charlier, Krawtchouk, Meixner and Hahn. We also provide lower bounds on the minimal distance between their consecutive zeros.

Original languageEnglish
Pages (from-to)121-141
Number of pages21
JournalJournal of Approximation Theory
Issue number2
StatePublished - Feb 2009
Externally publishedYes


  • Charlier polynomials
  • Discrete orthogonal polynomials
  • Hahn polynomials
  • Krawtchouk polynomials
  • Meixner polynomials
  • Zeros


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