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


Sevli H. , Batir N.

MATHEMATICAL AND COMPUTER MODELLING, cilt.53, ss.1771-1775, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 53
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.mcm.2010.12.055
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Sayfa Sayıları: ss.1771-1775

Özet

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.