An effective algorithm for calculating the Chandrasekhar function

Abstract
Numerical values of the Chandrasekhar function are needed with high accuracy in evaluations of theoretical models describing electron transport in condensed matter. An algorithm for such calculations should be possibly fast and also accurate, e.g. an accuracy of 10 decimal digits is needed for some applications. Two of the integral representations of the Chandrasekhar function are prospective for constructing such an algorithm, but suitable transformations are needed to obtain a rapidly conve...

Title of program: CHANDRAS
Catalogue Id: AEMC_v1_0

Nature of problem
An attempt has been made to develop a subroutine that calculates the Chandrasekhar function with high accuracy, of at least 10 decimal places. Simultaneously, this subroutine should be very fast. Both requirements stem from the theory of electron transport in condensed matter.

Versions of this program held in the CPC repository in Mendeley Data
AEMC_v1_0; CHANDRAS; 10.1016/j.cpc.2012.02.022
AEMC_v2_0; CHANDRAS_v2; 10.1016/j.cpc.2012.08.020

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

摘要
在描述凝聚态物质中电子输运的理论模型计算中，需要高精度的钱德拉塞卡函数（Chandrasekhar function）数值结果。此类计算的算法需兼具高运算速度与精度，部分应用场景要求达到10位十进制数的精度。钱德拉塞卡函数的两种积分表示形式是构建此类算法的潜在可行方案，但仍需通过合适的变换以获得快速收敛的……

程序名称：CHANDRAS
目录编号：AEMC_v1_0

问题背景
本研究旨在开发一款可高精度计算钱德拉塞卡函数的子程序，其精度至少可达10位十进制数，同时需具备极高的运算效率。这两项要求均源自凝聚态物质的电子输运理论。

Mendeley数据中的CPC程序库收录的本程序版本：
AEMC_v1_0; CHANDRAS; 10.1016/j.cpc.2012.02.022
AEMC_v2_0; CHANDRAS_v2; 10.1016/j.cpc.2012.08.020

本程序源自贝尔法斯特女王大学维护的CPC程序库（1969-2018年）