Asymptotic expansions for the ratio of gamma functions


Chen, Chao-Ping and Lin, Long


Abstract

carpathian_2014_30_2_139_146_abstract

The main object of this paper is to establish a class of the asymptotic expansions for the ratio of gamma functions Γ(x+1)Γ(x+12)Γ(x+1)Γ(x+12), by mainly using Bell polynomials and the partition function. This unifies several approximation formulas for the ratio of gamma functions due to Mortici.

Additional Information

Author(s)

Chen, Chao-Ping, Lin, Long