• 제목/요약/키워드: modifid Bessel function of the fist kind

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COMPLETE MONOTONICITY OF A DIFFERENCE BETWEEN THE EXPONENTIAL AND TRIGAMMA FUNCTIONS

  • Qi, Feng;Zhang, Xiao-Jing
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제21권2호
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    • pp.141-145
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    • 2014
  • In the paper, by directly verifying an inequality which gives a lower bound for the first order modified Bessel function of the first kind, the authors supply a new proof for the complete monotonicity of a difference between the exponential function $e^{1/t}$ and the trigamma function ${\psi}^{\prime}(t)$ on (0, ${\infty}$).