Some properties of extended remainder of Binet's first formula for logarithm of gamma function
arXiv:0904.1118 · doi:10.2478/s12175-010-0025-7
Abstract
In the paper, we extend Binet's first formula for the logarithm of the gamma function and investigate some properties, including inequalities, star-shaped and sub-additive properties and the complete monotonicity, of the extended remainder of Binet's first formula for the logarithm of the gamma function and related functions.
8 pages