UNIFORM BOUNDS FOR BESSEL FUNCTIONS

被引:46
|
作者
Krasikov, I. [1 ]
机构
[1] Brunel Univ, Dept Math Sci, Uxbridge UB8 3PH, Middx, England
关键词
Bessel function; bounds;
D O I
10.1515/JAA.2006.83
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For v > -1/2 and x real we shall establish explicit bounds for the Bessel function J(v)(x) which are uniform in x and v. This work and the recent result of L. J. Landau [7] provide relatively sharp inequalities for all real x.
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页码:83 / 91
页数:9
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