Estimating the polygamma functions for negative integers

Ahmed Salem, Adem Kılıçman

Research output: Contribution to journalJournal articlepeer-review

5 Scopus citations


The polygamma functions ψ (r) (x) are defined for all x > 0 and r ε ℕ. In this paper, the concepts of neutrix and neutrix limit are applied to generalize and redefine the polygamma functions ψ (r) (x) for all x ε ℝ and r ε ℕ. Also, further results are given.

Original languageEnglish
Article number523
JournalJournal of Inequalities and Applications
StatePublished - Nov 2013


  • Gamma function
  • Neutrices
  • Neutrix limits
  • Polygamma functions


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