Browsing by Subject "Psi function"

Now showing items 1-3 of 3

    • Article  

      Complete monotonicity and related properties of some special functions 

      Koumandos, S.; Lamprecht, M. (2013)
      We completely determine the set of s, t > 0 for which the function is a Bernstein function, that is Ls,t(x) is positive with completely monotonic derivative on (0, ∞). The complete monotonicity of several closely related ...
    • Article  

      Remarks on some completely monotonic functions 

      Koumandos, S. (2006)
      Applying the Euler-Maclaurin summation formula, we obtain upper and lower polynomial bounds for the function frac(x, ex - 1), x > 0, with coefficients the Bernoulli numbers Bk. This enables us to give simpler proofs of ...
    • Article  

      Some completely monotonic functions of positive order 

      Koumandos, S.; Lamprecht, M. (2010)
      We completely determine the set of (α, β) ∈ ℝ2for which the function is convex on (0, ∞) and use this result to give some special classes of completely monotonic functions of positive order related to gamma and psi functions. ...