Browsing by Subject "Polygamma functions"
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Article
On a conjecture of Clark and Ismail
(2005)Let Φm (x) = -xmψ(m) (x), where ψ denotes the logarithmic derivative of Euler's gamma function. Clark and Ismail prove in a recently published article that if m ∈ {1,2,..., 16}, then Φm(m) is completely monotonic on (0, ...
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Book Chapter
On completely monotonic and related functions
(Springer New York, 2014)We deal with several classes of functions, such as, completely monotonic functions, absolutely monotonic functions, logarithmically completely monotonic functions, Stieltjes functions, and Bernstein functions. We give ...