Bustoz, Joaquin; Ismail, Mourad E. H. On gamma function inequalities. (English) Zbl 0607.33002 Math. Comput. 47, 659-667 (1986). We show that certain functions involving quotients of gamma functions are completely monotonic. This leads to inequalities involving gamma functions. We also establish the infinite divisibility of several probability distributions whose Laplace transforms involve quotients of gamma functions. Cited in 72 Documents MSC: 33B15 Gamma, beta and polygamma functions 26D20 Other analytical inequalities Keywords:inequalities; gamma functions; Laplace transforms PDFBibTeX XMLCite \textit{J. Bustoz} and \textit{M. E. H. Ismail}, Math. Comput. 47, 659--667 (1986; Zbl 0607.33002) Full Text: DOI