Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6420092 | Applied Mathematics and Computation | 2015 | 10 Pages |
Abstract
We present new asymptotic expansions of the logarithm of the gamma function in terms of the psi and polygamma functions. Based on these expansions, we prove new complete monotonicity properties of some functions involving the gamma, psi and polygamma functions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Chao-Ping Chen, Neven ElezoviÄ,