• Title/Summary/Keyword: strongly completely monotonic

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SOME COMPLETELY MONOTONIC FUNCTIONS INVOLVING THE GAMMA AND POLYGAMMA FUNCTIONS

  • Li, Ai-Jun;Chen, Chao-Ping
    • Journal of the Korean Mathematical Society
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    • v.45 no.1
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    • pp.273-287
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    • 2008
  • In this paper, some logarithmically completely monotonic, strongly completely monotonic and completely monotonic functions related to the gamma, digamma and polygamma functions are established. Several inequalities, whose bounds are best possible, are obtained.