Some inequalities and monotonicity properties associated with the gamma and psi functions and the Barnes G-function

摘要

In this paper, several properties associated with inequalities and the logarithmically complete monotonicity of functions related to the gamma and psi functions and the Barnes G-function are obtained. Relevant connections of the results presented here with those derived in earlier works are also pointed out.View full textDownload full textKeywordsgamma function, psi function, polygamma functions, Barnes's G-function, completely monotonic functions, logarithmically completely monotonic functions, absolutely monotonic functions, inequalities and monotonicity properties, Riemann's zeta function, Hurwitz's (or generalized) zeta function 2010 Mathematics Subject Classification Primary: 33B15, Secondary: 11M06, 11M35, 26A48, 26A51Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/10652469.2010.483899