Mittag-Leffler functions and complete monotonicity

被引：17
|
作者：
Simon, Thomas [1 ,2 ]
机构：
[1] Univ Lille 1, Lab Paul Painleve, F-59655 Villeneuve Dascq, France
[2] Univ Paris 11, Lab Phys Theor & Modeles Stat, F-91405 Orsay, France
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2015年 / 26卷 / 01期
关键词：
Abelian transform; Stieltjes transform; Mittag-Leffler function; Mellin transform; incomplete Gamma function; complete monotonicity; 60G52; 26A33; 26A48; 33E12;
D O I：
10.1080/10652469.2014.965704
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider two operations on the Mittag-Leffler function which cancel the exponential term in the expansion at infinity, and generate a completely monotonic function. The first one is the action of a certain differential-difference operator, and leads to a characterization via some necktie domain. The second one is the subtraction of the exponential term itself multiplied by an incomplete Gamma function. These results extend previous works by various authors.
引用
收藏
页码：36 / 50
页数：15
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