Logarithmically completely monotontic functions related the gamma and the digamma functions with applications
arXiv:1511.07156
Abstract
In this paper we present several new classes of logarithmically completely monotonic functions. Our functions have in common that they are defined in terms of the gamma and digamma functions. As an applications of this results, some inequalities for the gamma and the digamma functions are established. Some of the given results generalized theorems due to Alzer and Berg and C.-P. Chen and F. Qi.
arXiv commentarXiv admin note: text overlap with arXiv:0904.1048 by other authors