@article {Liu:July 2008:0020-739X:686, author = "Liu, Ai-Qi", author = "Li, Guo-Fu", author = "Guo, Bai-Ni", author = "Qi, Feng", title = "Monotonicity and logarithmic concavity of two functions involving exponential function", journal = "International Journal of Mathematical Education in Science and Technology", volume = "39", year = "July 2008", abstract = "The function [image omitted] for x > 0 is proved to be strictly decreasing. As an application of this monotonicity, the logarithmic concavity of the function [image omitted] for a ∈  and t ∈ (0, ∞) is verified. The possible origin and background of the function (*) are revealed to be related to [image omitted] the remainder of Binet's formula. Some applications of above results to the difference of θ(x) are noted.", pages = "686-691(6)", url = "http://www.ingentaconnect.com/content/tandf/tmes/2008/00000039/00000005/art00009" doi = "doi:10.1080/00207390801986841" }