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Volume 5, Number 4, 2015, Pages 626-634                                                                DOI:10.11948/2015049
A logarithmically completely monotonic function involving the ratio of gamma functions
Feng Qi,Wen-Hui Li
Keywords:Logarithmically completely monotonic function, ratio, gamma function, coding gain, necessary and sufficient condition
      In the paper, the authors concisely survey and review some functionsinvolving the gamma function and its various ratios, simply state theirlogarithmically complete monotonicity and related results, and find necessaryand sufficient conditions for a new function involving the ratio of twogamma functions and originating from the coding gain to be logarithmicallycompletely monotonic.
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