engleski

Asymptotic expansions and completely monotonic functions associated with the gamma, psi and polygamma functions

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.

Gamma function; Psi function; Polygamma functions; Asymptotic expansion; Completely monotonic functions

nije evidentirano