Full length article: A completely monotonic function involving q-gamma and q-digamma functions

  • Authors:
  • Ahmed Salem

  • Affiliations:
  • -

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2012

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Abstract

In this paper, the monotonicity property for a function involving q-gamma and q-digamma functions is investigated for q0. An application of this result provides a sharp inequality for the q-gamma function. Our results are shown to be a generalization of results which were obtained by Alzer and Batir (2007) [2].