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

被引：0
|
作者：
B. V. Pal’tsev
机构：
[1] Russian Academy of Sciences,Computer Center
来源：
Mathematical Notes | 1999年 / 65卷
关键词：
two-sided bounds; Bessel function; modified Bessel functions; upper and lower barriers; the differential inequality theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Bounds uniform in the real argument and the index for the functionsaν(x)=xI′ν(x)/I′ν(x) andbν(x)=xK′ν(x)/Kν(x), as well as for the modified Bessel functionsIν(x) andKν(x), are established in the quadrantx>0, ν≥0, except for some neighborhoods of the pointx=0, ν=0.
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页码：571 / 581
页数：10
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