Complete monotonicity results for some functions involving the gamma and polygamma functions

Sevli H., Batir N.

MATHEMATICAL AND COMPUTER MODELLING, vol.53, pp.1771-1775, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 53
  • Publication Date: 2011
  • Doi Number: 10.1016/j.mcm.2010.12.055
  • Journal Name: MATHEMATICAL AND COMPUTER MODELLING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1771-1775
  • Van Yüzüncü Yıl University Affiliated: No

Abstract

In this paper we prove new complete monotonicity properties of some functions involving the gamma function. As consequences of them we establish various new upper and lower bounds for the gamma function and the harmonic numbers. (C) 2011 Elsevier Ltd. All rights reserved.