A class of logarithmically completely monotonic functions associated with a gamma function
The authors study the log complete monotonicity of the functions j\(G(x)= [e^x\Gamma(x+ a)]/(x+ b)^{x+ b}\), and \(1/G(x)\), where \(x> 0\). The proofs are based among others on integral representations, as well as inequalities for the digamma function.
scientific article; zbMATH DE number 5847770
scientific article