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Three classes of logarithmically completely monotonic functions involving gamma and psi functions

Three classes of logarithmically completely monotonic functions involving gamma and psi functions

Abstract By a simple approach, two classes of functions involving Euler’s gamma function and originating from certain problems of traffic flow are proved to be logarithmically completely monotonic and a class of functions involving the psi function is showed to be completely monotonic. Keywords: Logarithmically completely monotonic functionCompletely monotonic functionRatioGamma …