A completely monotone function related to the Gamma function
نویسندگان
چکیده
منابع مشابه
A completely monotone function related to the Gamma function
We show that the reciprocal of the function f(z) = log Γ(z + 1) z log z , z ∈ C\]−∞, 0], is a Stieltjes transform. As a corollary we obtain that the derivative of f is completely monotone, in the sense that (−1)n−1f (n)(x) ≥ 0 for all n ≥ 1 and all x > 0. This answers a question raised by Dimitar Dimitrov at the Fifth International Symposium on Orthogonal Polynomials, Special Functions and Appl...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2001
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(00)00644-0