AN ALGORITHM FOR EXPONENTIAL INTEGRALS OF REAL ORDER

被引:2
|
作者
CHICCOLI, C
LORENZUTTA, S
MAINO, G
机构
[1] CNEN,I-40138 BOLOGNA,ITALY
[2] CNAF,I-40138 BOLOGNA,ITALY
关键词
AMS Subject Classification: 33-04; 33A70; Generalized exponential-integral function; recurrence relations; Taylor series expansion; Tricomi's expansion;
D O I
10.1007/BF02250638
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The solution of many problems in radiative transfer and transport theory, requires calculations of real-order exponential integrals, Es(x). We consider a composite algorithm based on a recursive evaluation of Es(x), {Mathematical expression}, x>0, starting from a suitable initial value in the region of positive s and x arguments, which ensures the numerical stability of the involved recurrences. © 1990 Springer-Verlag.
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页码:269 / 276
页数:8
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