Pick Functions Related to the Gamma Function
نویسندگان
چکیده
منابع مشابه
Pick functions related to the Gamma function
has attracted the attention of several authors. In [1], Anderson and Qiu showed that f increases on the interval [1,∞[ and they conjectured that f is concave on the interval [1,∞[. The concavity of f on [1,∞[ was established by Elbert and Laforgia ([3]). At the Fifth International Symposium on Orthogonal Polynomials, Special Functions and Applications held in Patras in September 1999, D. Dimitr...
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converges for x ∈ [0,∞). This tells us that f ∈ C[[0,∞)] if and only if it is a Laplace transform of the measure α. There have been a lot of literature about the completely monotonic functions, for examples, [3, 4, 5, 22, 25, 32, 34, 35, 39, 40, 42, 58, 60, 61, 62, 63, 66] and references therein. Recall also [6, 43, 47] that a positive function f is said to be logarithmically completely monoton...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2002
ISSN: 0035-7596
DOI: 10.1216/rmjm/1030539684