Two-sided bounds uniform in the real argument and the index for modified Bessel functions

被引：10
|
作者：
Pal'tsev, BV [1 ]
机构：
[1] Russian Acad Sci, Ctr Comp, Moscow 117901, Russia
来源：
MATHEMATICAL NOTES | 1999年 / 65卷 / 5-6期
关键词：
two-sided bounds; Bessel function; modified Bessel functions; upper and lower barriers; the differential inequality theorem;
D O I：
10.1007/BF02743167
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Bounds uniform in the real argument and the index for the functions a(nu)(x) = xI(nu)'(x)/I-nu(x) and b(nu)(x) = xK(nu)'(x)/K-nu(x), as well as for the modified Bessel functions I-nu(x) and K-nu(x), are established in the quadrant x > 0, nu > 0, except for some neighborhoods of the point x = 0, nu = 0.
引用
收藏
页码：571 / 581
页数：11
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