A Class of logarithmically completely monotonic functions relating the q-gamma function and applications
Abstract
In this paper, the logarithmically complete monotonicity property for a functions involving q-gamma function is investigated for q∈(0,1). As applications of this results, some new inequalities for the q-gamma function are established. Furthermore, let the sequence rn be defined by n!=2π n(n/e)n ern. We establish new estimates for Stirling's formula remainder rn.
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