论文标题

Mittag-Leffler功能的数值评估

Numerical Evaluation of Mittag-Leffler Functions

论文作者

McLean, William

论文摘要

Mittag-Leffler函数是通过轮廓积分表示的正交近似来计算的。我们比较了抛物线和双曲线轮廓的结果,并特别注意对实际线路的评估。关于文献的类似方法的主要差异是整体杆中的两极的处理方式。还讨论了Mittag-Leffler函数在负实际轴上的合理近似。

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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