Numerical evaluation of Mittag-Leffler functions

被引：5
|
作者：
McLean, William [1 ]
机构：
[1] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia
来源：
CALCOLO | 2021年 / 58卷 / 01期
关键词：
Special functions; Fractional calculus; Quadrature; Contour integration; Rational approximation;
D O I：
10.1007/s10092-021-00398-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Mittag-Leffler function is computed via a quadrature approximation of a contour integral representation. We compare results for parabolic and hyperbolic contours, and give special attention to evaluation on the real line. The main point of difference with respect to similar approaches from the literature is the way that poles in the integrand are handled. Rational approximation of the Mittag-Leffler function on the negative real axis is also discussed.
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收藏
页数：25
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