A completely monotone function related to the Gamma function

57 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

A PROPERTY OF LOGARITHMICALLY ABSOLUTELY MONOTONIC FUNCTIONS AND THE LOGARITHMICALLY COMPLETE MONOTONICITY OF A POWER-EXPONENTIAL FUNCTION (2009, background): “It is also said in [8] that “In concrete cases it is often easier to establish that a function is a Stieltjes transform than to verify complete monotonicity”.”
On potentially negative space time covariances obtained as sum of products of marginal ones (2008, methodology): “Cs,t(h, u) = k1Cs(h)Ct(u) + k2Cs(h) + k3Ct(u) (3)”
Stieltjes-Pick-Bernstein-Schoenberg and their connection to complete monotonicity (2007, unknown): “(c) 1/log(1 +x); (log(1 +x))/x (Apply (i) above to example (b) with a = 0,b = 1 and apply then (ii)). (d) (xlogx)/log( x + 1), cf. [ 15 ].”
Integral Representation of Some Functions Related to the Gamma Function (2004, background): “The class L can be characterized in the following way, established by Horn[14, Theorem 4.4]: Theorem 1.1.”
Some classes of completely monotonic functions (2002, unknown): “[2], [3], [6], [9], [10], [14], [15], [24], [25], [27], [28], [31].”
A restarted Lanczos approximation to functions of a symmetric matrix (2010, background): “[4] A function f(x) is said to be a Stieltjes transform if it is of the form f(x) = a + ∫ ∞ 0 dμ(t) x + t , x > 0, (5.”
Some classes of completely monotonic functions, II (2006, background): “[41], [42], [13] as well as in recent work [5], [10].”