On Zeros of the Modified Bessel Function of the First Kind

被引：0
|
作者：
Khanmamedov, A. Kh [1 ,2 ]
Abbasova, Kh E. [3 ]
机构：
[1] Azerbaijan Univ, AZ-1007 Baku, Azerbaijan
[2] NAS Azerbaijan, Inst Math & Mech, Baku, Azerbaijan
[3] Azerbaijan State Univ Econ UNEC, AZ-1001 Baku, Azerbaijan
来源：
AZERBAIJAN JOURNAL OF MATHEMATICS | 2021年 / 11卷 / 02期
关键词：
Bessel functions; zeros of Bessel functions; Schrodinger equation; eigenvalues;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Zeros of the modified Bessel function I-nu (z) of the first kind, considered as a function of index nu are studied. It is proved that for each epsilon, epsilon > 0 outside the band vertical bar Im nu vertical bar < epsilon the function I-nu (z) can only have a finite number of zeros. Real zeros of the function I-nu (z) are located in the intervals (-2k, - (2k - 1)) , k = 1, 2, ....
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页码：176 / 182
页数：7
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